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Finding the Fourth Proportional to 27,421.32, 37,841.16 and 15,484.44

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Solution

The fourth proportional to 27,421.32, 37,841.16 and 15,484.44 is: 21,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,421.32 : 37,841.16 = 15,484.44 : x
  2. Step 2: Convert to fraction form
    27,421.32/37,841.16 = 15,484.44/x
  3. Step 3: Cross multiply
    27,421.32x = 37,841.16 × 15,484.44
  4. Step 4: Simplify right side
    27,421.32x = 585,949,171.55
  5. Step 5: Solve for x
    x = 585,949,171.55/27,421.32
  6. Step 6: Final answer
    x = 21,368.38

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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.