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Finding the Fourth Proportional to 17,689, 24,407.58 and 12,984.52

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Solution

The fourth proportional to 17,689, 24,407.58 and 12,984.52 is: 17,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689 : 24,407.58 = 12,984.52 : x
  2. Step 2: Convert to fraction form
    17,689/24,407.58 = 12,984.52/x
  3. Step 3: Cross multiply
    17,689x = 24,407.58 × 12,984.52
  4. Step 4: Simplify right side
    17,689x = 316,920,710.66
  5. Step 5: Solve for x
    x = 316,920,710.66/17,689
  6. Step 6: Final answer
    x = 17,916.26

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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.