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Finding the Fourth Proportional to 22,509.40, 31,061.82 and 12,573.40

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Solution

The fourth proportional to 22,509.40, 31,061.82 and 12,573.40 is: 17,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.40 : 31,061.82 = 12,573.40 : x
  2. Step 2: Convert to fraction form
    22,509.40/31,061.82 = 12,573.40/x
  3. Step 3: Cross multiply
    22,509.40x = 31,061.82 × 12,573.40
  4. Step 4: Simplify right side
    22,509.40x = 390,552,687.59
  5. Step 5: Solve for x
    x = 390,552,687.59/22,509.40
  6. Step 6: Final answer
    x = 17,350.65

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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.