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Finding the Fourth Proportional to 27,706.08, 38,233.80 and 15,130.88

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Solution

The fourth proportional to 27,706.08, 38,233.80 and 15,130.88 is: 20,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.08 : 38,233.80 = 15,130.88 : x
  2. Step 2: Convert to fraction form
    27,706.08/38,233.80 = 15,130.88/x
  3. Step 3: Cross multiply
    27,706.08x = 38,233.80 × 15,130.88
  4. Step 4: Simplify right side
    27,706.08x = 578,511,039.74
  5. Step 5: Solve for x
    x = 578,511,039.74/27,706.08
  6. Step 6: Final answer
    x = 20,880.29

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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.