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Finding the Fourth Proportional to 27,642.06, 38,142.70 and 15,702.05

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Solution

The fourth proportional to 27,642.06, 38,142.70 and 15,702.05 is: 21,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.06 : 38,142.70 = 15,702.05 : x
  2. Step 2: Convert to fraction form
    27,642.06/38,142.70 = 15,702.05/x
  3. Step 3: Cross multiply
    27,642.06x = 38,142.70 × 15,702.05
  4. Step 4: Simplify right side
    27,642.06x = 598,918,638.64
  5. Step 5: Solve for x
    x = 598,918,638.64/27,642.06
  6. Step 6: Final answer
    x = 21,666.93

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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.