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Finding the Fourth Proportional to 29,574.96, 44,357.64 and 9,853.68

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Solution

The fourth proportional to 29,574.96, 44,357.64 and 9,853.68 is: 14,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,574.96 : 44,357.64 = 9,853.68 : x
  2. Step 2: Convert to fraction form
    29,574.96/44,357.64 = 9,853.68/x
  3. Step 3: Cross multiply
    29,574.96x = 44,357.64 × 9,853.68
  4. Step 4: Simplify right side
    29,574.96x = 437,085,990.12
  5. Step 5: Solve for x
    x = 437,085,990.12/29,574.96
  6. Step 6: Final answer
    x = 14,778.92

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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.