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Finding the Fourth Proportional to 12,658.32, 17,445.29 and 8,401.86

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Solution

The fourth proportional to 12,658.32, 17,445.29 and 8,401.86 is: 11,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.32 : 17,445.29 = 8,401.86 : x
  2. Step 2: Convert to fraction form
    12,658.32/17,445.29 = 8,401.86/x
  3. Step 3: Cross multiply
    12,658.32x = 17,445.29 × 8,401.86
  4. Step 4: Simplify right side
    12,658.32x = 146,572,842.23
  5. Step 5: Solve for x
    x = 146,572,842.23/12,658.32
  6. Step 6: Final answer
    x = 11,579.17

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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.