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Finding the Fourth Proportional to 24,689.23, 34,070.98 and 14,078.63

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Solution

The fourth proportional to 24,689.23, 34,070.98 and 14,078.63 is: 19,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689.23 : 34,070.98 = 14,078.63 : x
  2. Step 2: Convert to fraction form
    24,689.23/34,070.98 = 14,078.63/x
  3. Step 3: Cross multiply
    24,689.23x = 34,070.98 × 14,078.63
  4. Step 4: Simplify right side
    24,689.23x = 479,672,721.16
  5. Step 5: Solve for x
    x = 479,672,721.16/24,689.23
  6. Step 6: Final answer
    x = 19,428.42

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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.