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Finding the Fourth Proportional to 22,841.64, 31,526.73 and 14,869.98

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Solution

The fourth proportional to 22,841.64, 31,526.73 and 14,869.98 is: 20,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.64 : 31,526.73 = 14,869.98 : x
  2. Step 2: Convert to fraction form
    22,841.64/31,526.73 = 14,869.98/x
  3. Step 3: Cross multiply
    22,841.64x = 31,526.73 × 14,869.98
  4. Step 4: Simplify right side
    22,841.64x = 468,801,844.57
  5. Step 5: Solve for x
    x = 468,801,844.57/22,841.64
  6. Step 6: Final answer
    x = 20,524.00

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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.