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Finding the Fourth Proportional to 27,750.52, 38,294.94 and 15,175

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Solution

The fourth proportional to 27,750.52, 38,294.94 and 15,175 is: 20,941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,750.52 : 38,294.94 = 15,175 : x
  2. Step 2: Convert to fraction form
    27,750.52/38,294.94 = 15,175/x
  3. Step 3: Cross multiply
    27,750.52x = 38,294.94 × 15,175
  4. Step 4: Simplify right side
    27,750.52x = 581,125,714.50
  5. Step 5: Solve for x
    x = 581,125,714.50/27,750.52
  6. Step 6: Final answer
    x = 20,941.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.