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Finding the Fourth Proportional to 22,869.40, 34,295.04 and 9,722.20

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Solution

The fourth proportional to 22,869.40, 34,295.04 and 9,722.20 is: 14,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,869.40 : 34,295.04 = 9,722.20 : x
  2. Step 2: Convert to fraction form
    22,869.40/34,295.04 = 9,722.20/x
  3. Step 3: Cross multiply
    22,869.40x = 34,295.04 × 9,722.20
  4. Step 4: Simplify right side
    22,869.40x = 333,423,237.89
  5. Step 5: Solve for x
    x = 333,423,237.89/22,869.40
  6. Step 6: Final answer
    x = 14,579.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.