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Finding the Fourth Proportional to 16,184.68, 24,294.30 and 6,957.16

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Solution

The fourth proportional to 16,184.68, 24,294.30 and 6,957.16 is: 10,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.68 : 24,294.30 = 6,957.16 : x
  2. Step 2: Convert to fraction form
    16,184.68/24,294.30 = 6,957.16/x
  3. Step 3: Cross multiply
    16,184.68x = 24,294.30 × 6,957.16
  4. Step 4: Simplify right side
    16,184.68x = 169,019,332.19
  5. Step 5: Solve for x
    x = 169,019,332.19/16,184.68
  6. Step 6: Final answer
    x = 10,443.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.