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Finding the Fourth Proportional to 27,706.84, 38,225.95 and 15,767.19

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Solution

The fourth proportional to 27,706.84, 38,225.95 and 15,767.19 is: 21,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.84 : 38,225.95 = 15,767.19 : x
  2. Step 2: Convert to fraction form
    27,706.84/38,225.95 = 15,767.19/x
  3. Step 3: Cross multiply
    27,706.84x = 38,225.95 × 15,767.19
  4. Step 4: Simplify right side
    27,706.84x = 602,715,777.16
  5. Step 5: Solve for x
    x = 602,715,777.16/27,706.84
  6. Step 6: Final answer
    x = 21,753.32

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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.