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Finding the Fourth Proportional to 16,509.70, 24,732.15 and 9,916.30

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Solution

The fourth proportional to 16,509.70, 24,732.15 and 9,916.30 is: 14,854.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.70 : 24,732.15 = 9,916.30 : x
  2. Step 2: Convert to fraction form
    16,509.70/24,732.15 = 9,916.30/x
  3. Step 3: Cross multiply
    16,509.70x = 24,732.15 × 9,916.30
  4. Step 4: Simplify right side
    16,509.70x = 245,251,419.05
  5. Step 5: Solve for x
    x = 245,251,419.05/16,509.70
  6. Step 6: Final answer
    x = 14,854.99

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1.5x scale

Why These Related Problems?

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