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Finding the Fourth Proportional to 16,222.50, 22,389.48 and 9,938.52

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Solution

The fourth proportional to 16,222.50, 22,389.48 and 9,938.52 is: 13,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.50 : 22,389.48 = 9,938.52 : x
  2. Step 2: Convert to fraction form
    16,222.50/22,389.48 = 9,938.52/x
  3. Step 3: Cross multiply
    16,222.50x = 22,389.48 × 9,938.52
  4. Step 4: Simplify right side
    16,222.50x = 222,518,294.77
  5. Step 5: Solve for x
    x = 222,518,294.77/16,222.50
  6. Step 6: Final answer
    x = 13,716.65

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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.