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Finding the Fourth Proportional to 15,082.47, 20,823.21 and 9,707.31

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Solution

The fourth proportional to 15,082.47, 20,823.21 and 9,707.31 is: 13,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.47 : 20,823.21 = 9,707.31 : x
  2. Step 2: Convert to fraction form
    15,082.47/20,823.21 = 9,707.31/x
  3. Step 3: Cross multiply
    15,082.47x = 20,823.21 × 9,707.31
  4. Step 4: Simplify right side
    15,082.47x = 202,137,354.67
  5. Step 5: Solve for x
    x = 202,137,354.67/15,082.47
  6. Step 6: Final answer
    x = 13,402.14

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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.