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Finding the Fourth Proportional to 23,876.80, 32,941.04 and 14,798.01

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Solution

The fourth proportional to 23,876.80, 32,941.04 and 14,798.01 is: 20,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876.80 : 32,941.04 = 14,798.01 : x
  2. Step 2: Convert to fraction form
    23,876.80/32,941.04 = 14,798.01/x
  3. Step 3: Cross multiply
    23,876.80x = 32,941.04 × 14,798.01
  4. Step 4: Simplify right side
    23,876.80x = 487,461,847.69
  5. Step 5: Solve for x
    x = 487,461,847.69/23,876.80
  6. Step 6: Final answer
    x = 20,415.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.