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Finding the Fourth Proportional to 15,666, 23,496.48 and 4,570.08

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Solution

The fourth proportional to 15,666, 23,496.48 and 4,570.08 is: 6,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666 : 23,496.48 = 4,570.08 : x
  2. Step 2: Convert to fraction form
    15,666/23,496.48 = 4,570.08/x
  3. Step 3: Cross multiply
    15,666x = 23,496.48 × 4,570.08
  4. Step 4: Simplify right side
    15,666x = 107,380,793.32
  5. Step 5: Solve for x
    x = 107,380,793.32/15,666
  6. Step 6: Final answer
    x = 6,854.38

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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.