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Finding the Fourth Proportional to 38,476.90, 57,708.06 and 13,511.08

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Solution

The fourth proportional to 38,476.90, 57,708.06 and 13,511.08 is: 20,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.90 : 57,708.06 = 13,511.08 : x
  2. Step 2: Convert to fraction form
    38,476.90/57,708.06 = 13,511.08/x
  3. Step 3: Cross multiply
    38,476.90x = 57,708.06 × 13,511.08
  4. Step 4: Simplify right side
    38,476.90x = 779,698,215.30
  5. Step 5: Solve for x
    x = 779,698,215.30/38,476.90
  6. Step 6: Final answer
    x = 20,264.06

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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.