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Finding the Fourth Proportional to 18,492.80, 27,721.20 and 10,587.20

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Solution

The fourth proportional to 18,492.80, 27,721.20 and 10,587.20 is: 15,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,492.80 : 27,721.20 = 10,587.20 : x
  2. Step 2: Convert to fraction form
    18,492.80/27,721.20 = 10,587.20/x
  3. Step 3: Cross multiply
    18,492.80x = 27,721.20 × 10,587.20
  4. Step 4: Simplify right side
    18,492.80x = 293,489,888.64
  5. Step 5: Solve for x
    x = 293,489,888.64/18,492.80
  6. Step 6: Final answer
    x = 15,870.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.