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Finding the Fourth Proportional to 22,509.80, 31,084.26 and 15,079.40

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Solution

The fourth proportional to 22,509.80, 31,084.26 and 15,079.40 is: 20,823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.80 : 31,084.26 = 15,079.40 : x
  2. Step 2: Convert to fraction form
    22,509.80/31,084.26 = 15,079.40/x
  3. Step 3: Cross multiply
    22,509.80x = 31,084.26 × 15,079.40
  4. Step 4: Simplify right side
    22,509.80x = 468,731,990.24
  5. Step 5: Solve for x
    x = 468,731,990.24/22,509.80
  6. Step 6: Final answer
    x = 20,823.46

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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.