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Finding the Fourth Proportional to 22,510.30, 31,064.49 and 12,438.64

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Solution

The fourth proportional to 22,510.30, 31,064.49 and 12,438.64 is: 17,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510.30 : 31,064.49 = 12,438.64 : x
  2. Step 2: Convert to fraction form
    22,510.30/31,064.49 = 12,438.64/x
  3. Step 3: Cross multiply
    22,510.30x = 31,064.49 × 12,438.64
  4. Step 4: Simplify right side
    22,510.30x = 386,400,007.89
  5. Step 5: Solve for x
    x = 386,400,007.89/22,510.30
  6. Step 6: Final answer
    x = 17,165.48

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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.