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Finding the Fourth Proportional to 27,710.25, 38,240.35 and 15,135

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Solution

The fourth proportional to 27,710.25, 38,240.35 and 15,135 is: 20,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.25 : 38,240.35 = 15,135 : x
  2. Step 2: Convert to fraction form
    27,710.25/38,240.35 = 15,135/x
  3. Step 3: Cross multiply
    27,710.25x = 38,240.35 × 15,135
  4. Step 4: Simplify right side
    27,710.25x = 578,767,659.41
  5. Step 5: Solve for x
    x = 578,767,659.41/27,710.25
  6. Step 6: Final answer
    x = 20,886.41

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Why These Related Problems?

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