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Finding the Fourth Proportional to 13,981.52, 19,293.98 and 7,693.76

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Solution

The fourth proportional to 13,981.52, 19,293.98 and 7,693.76 is: 10,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.52 : 19,293.98 = 7,693.76 : x
  2. Step 2: Convert to fraction form
    13,981.52/19,293.98 = 7,693.76/x
  3. Step 3: Cross multiply
    13,981.52x = 19,293.98 × 7,693.76
  4. Step 4: Simplify right side
    13,981.52x = 148,443,251.56
  5. Step 5: Solve for x
    x = 148,443,251.56/13,981.52
  6. Step 6: Final answer
    x = 10,617.10

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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.