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Finding the Fourth Proportional to 24,760.76, 34,170.02 and 13,430.31

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Solution

The fourth proportional to 24,760.76, 34,170.02 and 13,430.31 is: 18,533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,760.76 : 34,170.02 = 13,430.31 : x
  2. Step 2: Convert to fraction form
    24,760.76/34,170.02 = 13,430.31/x
  3. Step 3: Cross multiply
    24,760.76x = 34,170.02 × 13,430.31
  4. Step 4: Simplify right side
    24,760.76x = 458,913,894.15
  5. Step 5: Solve for x
    x = 458,913,894.15/24,760.76
  6. Step 6: Final answer
    x = 18,533.92

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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.