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Finding the Fourth Proportional to 24,709.86, 34,098.30 and 14,100.48

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Solution

The fourth proportional to 24,709.86, 34,098.30 and 14,100.48 is: 19,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.86 : 34,098.30 = 14,100.48 : x
  2. Step 2: Convert to fraction form
    24,709.86/34,098.30 = 14,100.48/x
  3. Step 3: Cross multiply
    24,709.86x = 34,098.30 × 14,100.48
  4. Step 4: Simplify right side
    24,709.86x = 480,802,397.18
  5. Step 5: Solve for x
    x = 480,802,397.18/24,709.86
  6. Step 6: Final answer
    x = 19,457.92

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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.