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Finding the Fourth Proportional to 16,152.53, 22,294.13 and 9,868.49

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Solution

The fourth proportional to 16,152.53, 22,294.13 and 9,868.49 is: 13,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152.53 : 22,294.13 = 9,868.49 : x
  2. Step 2: Convert to fraction form
    16,152.53/22,294.13 = 9,868.49/x
  3. Step 3: Cross multiply
    16,152.53x = 22,294.13 × 9,868.49
  4. Step 4: Simplify right side
    16,152.53x = 220,009,349.62
  5. Step 5: Solve for x
    x = 220,009,349.62/16,152.53
  6. Step 6: Final answer
    x = 13,620.74

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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.