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Finding the Fourth Proportional to 22,832.66, 31,508.86 and 12,624.38

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Solution

The fourth proportional to 22,832.66, 31,508.86 and 12,624.38 is: 17,421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.66 : 31,508.86 = 12,624.38 : x
  2. Step 2: Convert to fraction form
    22,832.66/31,508.86 = 12,624.38/x
  3. Step 3: Cross multiply
    22,832.66x = 31,508.86 × 12,624.38
  4. Step 4: Simplify right side
    22,832.66x = 397,779,881.10
  5. Step 5: Solve for x
    x = 397,779,881.10/22,832.66
  6. Step 6: Final answer
    x = 17,421.53

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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.