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Finding the Fourth Proportional to 16,498.19, 24,743.49 and 9,836.57

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Solution

The fourth proportional to 16,498.19, 24,743.49 and 9,836.57 is: 14,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.19 : 24,743.49 = 9,836.57 : x
  2. Step 2: Convert to fraction form
    16,498.19/24,743.49 = 9,836.57/x
  3. Step 3: Cross multiply
    16,498.19x = 24,743.49 × 9,836.57
  4. Step 4: Simplify right side
    16,498.19x = 243,390,947.71
  5. Step 5: Solve for x
    x = 243,390,947.71/16,498.19
  6. Step 6: Final answer
    x = 14,752.59

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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.