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Finding the Fourth Proportional to 12,565.22, 17,340.24 and 6,899.91

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Solution

The fourth proportional to 12,565.22, 17,340.24 and 6,899.91 is: 9,522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.22 : 17,340.24 = 6,899.91 : x
  2. Step 2: Convert to fraction form
    12,565.22/17,340.24 = 6,899.91/x
  3. Step 3: Cross multiply
    12,565.22x = 17,340.24 × 6,899.91
  4. Step 4: Simplify right side
    12,565.22x = 119,646,095.38
  5. Step 5: Solve for x
    x = 119,646,095.38/12,565.22
  6. Step 6: Final answer
    x = 9,522.01

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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.