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Finding the Fourth Proportional to 22,509.01, 31,062.31 and 12,438.15

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Solution

The fourth proportional to 22,509.01, 31,062.31 and 12,438.15 is: 17,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.01 : 31,062.31 = 12,438.15 : x
  2. Step 2: Convert to fraction form
    22,509.01/31,062.31 = 12,438.15/x
  3. Step 3: Cross multiply
    22,509.01x = 31,062.31 × 12,438.15
  4. Step 4: Simplify right side
    22,509.01x = 386,357,671.13
  5. Step 5: Solve for x
    x = 386,357,671.13/22,509.01
  6. Step 6: Final answer
    x = 17,164.58

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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.