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Finding the Fourth Proportional to 15,577.32, 21,497.07 and 8,503.80

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Solution

The fourth proportional to 15,577.32, 21,497.07 and 8,503.80 is: 11,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577.32 : 21,497.07 = 8,503.80 : x
  2. Step 2: Convert to fraction form
    15,577.32/21,497.07 = 8,503.80/x
  3. Step 3: Cross multiply
    15,577.32x = 21,497.07 × 8,503.80
  4. Step 4: Simplify right side
    15,577.32x = 182,806,676.38
  5. Step 5: Solve for x
    x = 182,806,676.38/15,577.32
  6. Step 6: Final answer
    x = 11,735.44

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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.