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Finding the Fourth Proportional to 24,491.40, 36,689.90 and 14,638.60

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Solution

The fourth proportional to 24,491.40, 36,689.90 and 14,638.60 is: 21,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,491.40 : 36,689.90 = 14,638.60 : x
  2. Step 2: Convert to fraction form
    24,491.40/36,689.90 = 14,638.60/x
  3. Step 3: Cross multiply
    24,491.40x = 36,689.90 × 14,638.60
  4. Step 4: Simplify right side
    24,491.40x = 537,088,770.14
  5. Step 5: Solve for x
    x = 537,088,770.14/24,491.40
  6. Step 6: Final answer
    x = 21,929.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.