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Finding the Fourth Proportional to 27,114, 37,417.30 and 15,180.13

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Solution

The fourth proportional to 27,114, 37,417.30 and 15,180.13 is: 20,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114 : 37,417.30 = 15,180.13 : x
  2. Step 2: Convert to fraction form
    27,114/37,417.30 = 15,180.13/x
  3. Step 3: Cross multiply
    27,114x = 37,417.30 × 15,180.13
  4. Step 4: Simplify right side
    27,114x = 567,999,478.25
  5. Step 5: Solve for x
    x = 567,999,478.25/27,114
  6. Step 6: Final answer
    x = 20,948.57

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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.