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Finding the Fourth Proportional to 10,032.72, 15,064.68 and 9,589.06

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Solution

The fourth proportional to 10,032.72, 15,064.68 and 9,589.06 is: 14,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.72 : 15,064.68 = 9,589.06 : x
  2. Step 2: Convert to fraction form
    10,032.72/15,064.68 = 9,589.06/x
  3. Step 3: Cross multiply
    10,032.72x = 15,064.68 × 9,589.06
  4. Step 4: Simplify right side
    10,032.72x = 144,456,120.40
  5. Step 5: Solve for x
    x = 144,456,120.40/10,032.72
  6. Step 6: Final answer
    x = 14,398.50

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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.