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Finding the Fourth Proportional to 22,509.26, 31,062.66 and 12,438.40

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Solution

The fourth proportional to 22,509.26, 31,062.66 and 12,438.40 is: 17,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.26 : 31,062.66 = 12,438.40 : x
  2. Step 2: Convert to fraction form
    22,509.26/31,062.66 = 12,438.40/x
  3. Step 3: Cross multiply
    22,509.26x = 31,062.66 × 12,438.40
  4. Step 4: Simplify right side
    22,509.26x = 386,369,790.14
  5. Step 5: Solve for x
    x = 386,369,790.14/22,509.26
  6. Step 6: Final answer
    x = 17,164.93

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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.