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Finding the Fourth Proportional to 24,710.64, 34,103.12 and 14,101.86

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Solution

The fourth proportional to 24,710.64, 34,103.12 and 14,101.86 is: 19,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710.64 : 34,103.12 = 14,101.86 : x
  2. Step 2: Convert to fraction form
    24,710.64/34,103.12 = 14,101.86/x
  3. Step 3: Cross multiply
    24,710.64x = 34,103.12 × 14,101.86
  4. Step 4: Simplify right side
    24,710.64x = 480,917,353.29
  5. Step 5: Solve for x
    x = 480,917,353.29/24,710.64
  6. Step 6: Final answer
    x = 19,461.95

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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.