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Finding the Fourth Proportional to 15,006.12, 20,689.20 and 10,282.20

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Solution

The fourth proportional to 15,006.12, 20,689.20 and 10,282.20 is: 14,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006.12 : 20,689.20 = 10,282.20 : x
  2. Step 2: Convert to fraction form
    15,006.12/20,689.20 = 10,282.20/x
  3. Step 3: Cross multiply
    15,006.12x = 20,689.20 × 10,282.20
  4. Step 4: Simplify right side
    15,006.12x = 212,730,492.24
  5. Step 5: Solve for x
    x = 212,730,492.24/15,006.12
  6. Step 6: Final answer
    x = 14,176.25

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