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Finding the Fourth Proportional to 23,878.80, 32,950.80 and 14,320.80

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Solution

The fourth proportional to 23,878.80, 32,950.80 and 14,320.80 is: 19,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.80 : 32,950.80 = 14,320.80 : x
  2. Step 2: Convert to fraction form
    23,878.80/32,950.80 = 14,320.80/x
  3. Step 3: Cross multiply
    23,878.80x = 32,950.80 × 14,320.80
  4. Step 4: Simplify right side
    23,878.80x = 471,881,816.64
  5. Step 5: Solve for x
    x = 471,881,816.64/23,878.80
  6. Step 6: Final answer
    x = 19,761.54

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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.