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Finding the Fourth Proportional to 10,493.72, 15,663.81 and 9,248.20

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Solution

The fourth proportional to 10,493.72, 15,663.81 and 9,248.20 is: 13,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.72 : 15,663.81 = 9,248.20 : x
  2. Step 2: Convert to fraction form
    10,493.72/15,663.81 = 9,248.20/x
  3. Step 3: Cross multiply
    10,493.72x = 15,663.81 × 9,248.20
  4. Step 4: Simplify right side
    10,493.72x = 144,862,008.48
  5. Step 5: Solve for x
    x = 144,862,008.48/10,493.72
  6. Step 6: Final answer
    x = 13,804.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.