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Finding the Fourth Proportional to 22,510.20, 31,065.96 and 13,078.20

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Solution

The fourth proportional to 22,510.20, 31,065.96 and 13,078.20 is: 18,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510.20 : 31,065.96 = 13,078.20 : x
  2. Step 2: Convert to fraction form
    22,510.20/31,065.96 = 13,078.20/x
  3. Step 3: Cross multiply
    22,510.20x = 31,065.96 × 13,078.20
  4. Step 4: Simplify right side
    22,510.20x = 406,286,838.07
  5. Step 5: Solve for x
    x = 406,286,838.07/22,510.20
  6. Step 6: Final answer
    x = 18,049.01

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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.