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Finding the Fourth Proportional to 22,524.90, 31,097.02 and 14,981.50

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Solution

The fourth proportional to 22,524.90, 31,097.02 and 14,981.50 is: 20,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.90 : 31,097.02 = 14,981.50 : x
  2. Step 2: Convert to fraction form
    22,524.90/31,097.02 = 14,981.50/x
  3. Step 3: Cross multiply
    22,524.90x = 31,097.02 × 14,981.50
  4. Step 4: Simplify right side
    22,524.90x = 465,880,005.13
  5. Step 5: Solve for x
    x = 465,880,005.13/22,524.90
  6. Step 6: Final answer
    x = 20,682.89

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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.