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Finding the Fourth Proportional to 16,294.16, 22,485.76 and 9,124.14

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Solution

The fourth proportional to 16,294.16, 22,485.76 and 9,124.14 is: 12,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.16 : 22,485.76 = 9,124.14 : x
  2. Step 2: Convert to fraction form
    16,294.16/22,485.76 = 9,124.14/x
  3. Step 3: Cross multiply
    16,294.16x = 22,485.76 × 9,124.14
  4. Step 4: Simplify right side
    16,294.16x = 205,163,222.25
  5. Step 5: Solve for x
    x = 205,163,222.25/16,294.16
  6. Step 6: Final answer
    x = 12,591.21

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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.