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Finding the Fourth Proportional to 27,706.76, 38,235.12 and 15,131.50

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Solution

The fourth proportional to 27,706.76, 38,235.12 and 15,131.50 is: 20,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.76 : 38,235.12 = 15,131.50 : x
  2. Step 2: Convert to fraction form
    27,706.76/38,235.12 = 15,131.50/x
  3. Step 3: Cross multiply
    27,706.76x = 38,235.12 × 15,131.50
  4. Step 4: Simplify right side
    27,706.76x = 578,554,718.28
  5. Step 5: Solve for x
    x = 578,554,718.28/27,706.76
  6. Step 6: Final answer
    x = 20,881.36

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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.