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Finding the Fourth Proportional to 15,473.76, 21,353.72 and 8,400.24

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Solution

The fourth proportional to 15,473.76, 21,353.72 and 8,400.24 is: 11,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,473.76 : 21,353.72 = 8,400.24 : x
  2. Step 2: Convert to fraction form
    15,473.76/21,353.72 = 8,400.24/x
  3. Step 3: Cross multiply
    15,473.76x = 21,353.72 × 8,400.24
  4. Step 4: Simplify right side
    15,473.76x = 179,376,372.89
  5. Step 5: Solve for x
    x = 179,376,372.89/15,473.76
  6. Step 6: Final answer
    x = 11,592.29

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1.5x scale

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.