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Finding the Fourth Proportional to 13,911.48, 19,197.92 and 7,538.17

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Solution

The fourth proportional to 13,911.48, 19,197.92 and 7,538.17 is: 10,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.48 : 19,197.92 = 7,538.17 : x
  2. Step 2: Convert to fraction form
    13,911.48/19,197.92 = 7,538.17/x
  3. Step 3: Cross multiply
    13,911.48x = 19,197.92 × 7,538.17
  4. Step 4: Simplify right side
    13,911.48x = 144,717,184.61
  5. Step 5: Solve for x
    x = 144,717,184.61/13,911.48
  6. Step 6: Final answer
    x = 10,402.72

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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.