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Finding the Fourth Proportional to 24,671.16, 34,044 and 13,916.82

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Solution

The fourth proportional to 24,671.16, 34,044 and 13,916.82 is: 19,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.16 : 34,044 = 13,916.82 : x
  2. Step 2: Convert to fraction form
    24,671.16/34,044 = 13,916.82/x
  3. Step 3: Cross multiply
    24,671.16x = 34,044 × 13,916.82
  4. Step 4: Simplify right side
    24,671.16x = 473,784,220.08
  5. Step 5: Solve for x
    x = 473,784,220.08/24,671.16
  6. Step 6: Final answer
    x = 19,203.97

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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.