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Finding the Fourth Proportional to 27,841.32, 38,421.90 and 15,267.24

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Solution

The fourth proportional to 27,841.32, 38,421.90 and 15,267.24 is: 21,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.32 : 38,421.90 = 15,267.24 : x
  2. Step 2: Convert to fraction form
    27,841.32/38,421.90 = 15,267.24/x
  3. Step 3: Cross multiply
    27,841.32x = 38,421.90 × 15,267.24
  4. Step 4: Simplify right side
    27,841.32x = 586,596,368.56
  5. Step 5: Solve for x
    x = 586,596,368.56/27,841.32
  6. Step 6: Final answer
    x = 21,069.27

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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.