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Finding the Fourth Proportional to 27,710.20, 41,570.70 and 11,915.20

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Solution

The fourth proportional to 27,710.20, 41,570.70 and 11,915.20 is: 17,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.20 : 41,570.70 = 11,915.20 : x
  2. Step 2: Convert to fraction form
    27,710.20/41,570.70 = 11,915.20/x
  3. Step 3: Cross multiply
    27,710.20x = 41,570.70 × 11,915.20
  4. Step 4: Simplify right side
    27,710.20x = 495,323,204.64
  5. Step 5: Solve for x
    x = 495,323,204.64/27,710.20
  6. Step 6: Final answer
    x = 17,875.12

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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.