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Finding the Fourth Proportional to 38,465.36, 57,702.65 and 11,807.86

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Solution

The fourth proportional to 38,465.36, 57,702.65 and 11,807.86 is: 17,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,465.36 : 57,702.65 = 11,807.86 : x
  2. Step 2: Convert to fraction form
    38,465.36/57,702.65 = 11,807.86/x
  3. Step 3: Cross multiply
    38,465.36x = 57,702.65 × 11,807.86
  4. Step 4: Simplify right side
    38,465.36x = 681,344,698.09
  5. Step 5: Solve for x
    x = 681,344,698.09/38,465.36
  6. Step 6: Final answer
    x = 17,713.20

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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.