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Finding the Fourth Proportional to 16,528.38, 22,813.02 and 10,565.16

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Solution

The fourth proportional to 16,528.38, 22,813.02 and 10,565.16 is: 14,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,528.38 : 22,813.02 = 10,565.16 : x
  2. Step 2: Convert to fraction form
    16,528.38/22,813.02 = 10,565.16/x
  3. Step 3: Cross multiply
    16,528.38x = 22,813.02 × 10,565.16
  4. Step 4: Simplify right side
    16,528.38x = 241,023,206.38
  5. Step 5: Solve for x
    x = 241,023,206.38/16,528.38
  6. Step 6: Final answer
    x = 14,582.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.