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Finding the Fourth Proportional to 34,792.76, 52,197.24 and 11,417.78

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Solution

The fourth proportional to 34,792.76, 52,197.24 and 11,417.78 is: 17,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,792.76 : 52,197.24 = 11,417.78 : x
  2. Step 2: Convert to fraction form
    34,792.76/52,197.24 = 11,417.78/x
  3. Step 3: Cross multiply
    34,792.76x = 52,197.24 × 11,417.78
  4. Step 4: Simplify right side
    34,792.76x = 595,976,602.93
  5. Step 5: Solve for x
    x = 595,976,602.93/34,792.76
  6. Step 6: Final answer
    x = 17,129.33

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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.