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Finding the Fourth Proportional to 13,128.17, 19,691.82 and 7,564.28

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Solution

The fourth proportional to 13,128.17, 19,691.82 and 7,564.28 is: 11,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,128.17 : 19,691.82 = 7,564.28 : x
  2. Step 2: Convert to fraction form
    13,128.17/19,691.82 = 7,564.28/x
  3. Step 3: Cross multiply
    13,128.17x = 19,691.82 × 7,564.28
  4. Step 4: Simplify right side
    13,128.17x = 148,954,341.73
  5. Step 5: Solve for x
    x = 148,954,341.73/13,128.17
  6. Step 6: Final answer
    x = 11,346.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.