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Finding the Fourth Proportional to 20,670.64, 30,988.68 and 9,585.24

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Solution

The fourth proportional to 20,670.64, 30,988.68 and 9,585.24 is: 14,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,670.64 : 30,988.68 = 9,585.24 : x
  2. Step 2: Convert to fraction form
    20,670.64/30,988.68 = 9,585.24/x
  3. Step 3: Cross multiply
    20,670.64x = 30,988.68 × 9,585.24
  4. Step 4: Simplify right side
    20,670.64x = 297,033,935.08
  5. Step 5: Solve for x
    x = 297,033,935.08/20,670.64
  6. Step 6: Final answer
    x = 14,369.85

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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.