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Finding the Fourth Proportional to 23,041.60, 31,798.01 and 12,970.41

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Solution

The fourth proportional to 23,041.60, 31,798.01 and 12,970.41 is: 17,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,041.60 : 31,798.01 = 12,970.41 : x
  2. Step 2: Convert to fraction form
    23,041.60/31,798.01 = 12,970.41/x
  3. Step 3: Cross multiply
    23,041.60x = 31,798.01 × 12,970.41
  4. Step 4: Simplify right side
    23,041.60x = 412,433,045.65
  5. Step 5: Solve for x
    x = 412,433,045.65/23,041.60
  6. Step 6: Final answer
    x = 17,899.49

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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.