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Finding the Fourth Proportional to 20,298.46, 30,426.80 and 9,752.66

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Solution

The fourth proportional to 20,298.46, 30,426.80 and 9,752.66 is: 14,618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.46 : 30,426.80 = 9,752.66 : x
  2. Step 2: Convert to fraction form
    20,298.46/30,426.80 = 9,752.66/x
  3. Step 3: Cross multiply
    20,298.46x = 30,426.80 × 9,752.66
  4. Step 4: Simplify right side
    20,298.46x = 296,742,235.29
  5. Step 5: Solve for x
    x = 296,742,235.29/20,298.46
  6. Step 6: Final answer
    x = 14,618.95

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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.