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Finding the Fourth Proportional to 18,417.20, 27,643.20 and 9,658.40

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Solution

The fourth proportional to 18,417.20, 27,643.20 and 9,658.40 is: 14,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,417.20 : 27,643.20 = 9,658.40 : x
  2. Step 2: Convert to fraction form
    18,417.20/27,643.20 = 9,658.40/x
  3. Step 3: Cross multiply
    18,417.20x = 27,643.20 × 9,658.40
  4. Step 4: Simplify right side
    18,417.20x = 266,989,082.88
  5. Step 5: Solve for x
    x = 266,989,082.88/18,417.20
  6. Step 6: Final answer
    x = 14,496.72

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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.