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Finding the Fourth Proportional to 30,646.32, 45,976.68 and 9,869.04

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Solution

The fourth proportional to 30,646.32, 45,976.68 and 9,869.04 is: 14,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.32 : 45,976.68 = 9,869.04 : x
  2. Step 2: Convert to fraction form
    30,646.32/45,976.68 = 9,869.04/x
  3. Step 3: Cross multiply
    30,646.32x = 45,976.68 × 9,869.04
  4. Step 4: Simplify right side
    30,646.32x = 453,745,693.99
  5. Step 5: Solve for x
    x = 453,745,693.99/30,646.32
  6. Step 6: Final answer
    x = 14,805.88

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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.