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Finding the Fourth Proportional to 22,539.62, 31,094.19 and 14,584.40

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Solution

The fourth proportional to 22,539.62, 31,094.19 and 14,584.40 is: 20,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,539.62 : 31,094.19 = 14,584.40 : x
  2. Step 2: Convert to fraction form
    22,539.62/31,094.19 = 14,584.40/x
  3. Step 3: Cross multiply
    22,539.62x = 31,094.19 × 14,584.40
  4. Step 4: Simplify right side
    22,539.62x = 453,490,237.06
  5. Step 5: Solve for x
    x = 453,490,237.06/22,539.62
  6. Step 6: Final answer
    x = 20,119.70

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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.