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Finding the Fourth Proportional to 30,439.64, 45,666.72 and 9,663.16

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Solution

The fourth proportional to 30,439.64, 45,666.72 and 9,663.16 is: 14,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,439.64 : 45,666.72 = 9,663.16 : x
  2. Step 2: Convert to fraction form
    30,439.64/45,666.72 = 9,663.16/x
  3. Step 3: Cross multiply
    30,439.64x = 45,666.72 × 9,663.16
  4. Step 4: Simplify right side
    30,439.64x = 441,284,822.04
  5. Step 5: Solve for x
    x = 441,284,822.04/30,439.64
  6. Step 6: Final answer
    x = 14,497.04

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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.