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Finding the Fourth Proportional to 16,354.23, 22,565.37 and 9,635.28

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Solution

The fourth proportional to 16,354.23, 22,565.37 and 9,635.28 is: 13,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.23 : 22,565.37 = 9,635.28 : x
  2. Step 2: Convert to fraction form
    16,354.23/22,565.37 = 9,635.28/x
  3. Step 3: Cross multiply
    16,354.23x = 22,565.37 × 9,635.28
  4. Step 4: Simplify right side
    16,354.23x = 217,423,658.25
  5. Step 5: Solve for x
    x = 217,423,658.25/16,354.23
  6. Step 6: Final answer
    x = 13,294.64

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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.