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Finding the Fourth Proportional to 17,898.90, 24,723.74 and 13,624

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Solution

The fourth proportional to 17,898.90, 24,723.74 and 13,624 is: 18,818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,898.90 : 24,723.74 = 13,624 : x
  2. Step 2: Convert to fraction form
    17,898.90/24,723.74 = 13,624/x
  3. Step 3: Cross multiply
    17,898.90x = 24,723.74 × 13,624
  4. Step 4: Simplify right side
    17,898.90x = 336,836,233.76
  5. Step 5: Solve for x
    x = 336,836,233.76/17,898.90
  6. Step 6: Final answer
    x = 18,818.82

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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.