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Finding the Fourth Proportional to 24,689.16, 34,070.90 and 14,078.57

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Solution

The fourth proportional to 24,689.16, 34,070.90 and 14,078.57 is: 19,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689.16 : 34,070.90 = 14,078.57 : x
  2. Step 2: Convert to fraction form
    24,689.16/34,070.90 = 14,078.57/x
  3. Step 3: Cross multiply
    24,689.16x = 34,070.90 × 14,078.57
  4. Step 4: Simplify right side
    24,689.16x = 479,669,309.87
  5. Step 5: Solve for x
    x = 479,669,309.87/24,689.16
  6. Step 6: Final answer
    x = 19,428.34

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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.