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Finding the Fourth Proportional to 24,703.14, 37,055.92 and 8,063.16

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Solution

The fourth proportional to 24,703.14, 37,055.92 and 8,063.16 is: 12,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,703.14 : 37,055.92 = 8,063.16 : x
  2. Step 2: Convert to fraction form
    24,703.14/37,055.92 = 8,063.16/x
  3. Step 3: Cross multiply
    24,703.14x = 37,055.92 × 8,063.16
  4. Step 4: Simplify right side
    24,703.14x = 298,787,811.91
  5. Step 5: Solve for x
    x = 298,787,811.91/24,703.14
  6. Step 6: Final answer
    x = 12,095.13

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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.