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Finding the Fourth Proportional to 15,998.80, 23,972.28 and 9,752.08

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Solution

The fourth proportional to 15,998.80, 23,972.28 and 9,752.08 is: 14,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998.80 : 23,972.28 = 9,752.08 : x
  2. Step 2: Convert to fraction form
    15,998.80/23,972.28 = 9,752.08/x
  3. Step 3: Cross multiply
    15,998.80x = 23,972.28 × 9,752.08
  4. Step 4: Simplify right side
    15,998.80x = 233,779,592.34
  5. Step 5: Solve for x
    x = 233,779,592.34/15,998.80
  6. Step 6: Final answer
    x = 14,612.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.