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Finding the Fourth Proportional to 27,702.09, 38,229 and 15,126.84

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Solution

The fourth proportional to 27,702.09, 38,229 and 15,126.84 is: 20,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.09 : 38,229 = 15,126.84 : x
  2. Step 2: Convert to fraction form
    27,702.09/38,229 = 15,126.84/x
  3. Step 3: Cross multiply
    27,702.09x = 38,229 × 15,126.84
  4. Step 4: Simplify right side
    27,702.09x = 578,283,966.36
  5. Step 5: Solve for x
    x = 578,283,966.36/27,702.09
  6. Step 6: Final answer
    x = 20,875.10

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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.