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Finding the Fourth Proportional to 17,587, 24,266.18 and 10,782.48

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Solution

The fourth proportional to 17,587, 24,266.18 and 10,782.48 is: 14,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,587 : 24,266.18 = 10,782.48 : x
  2. Step 2: Convert to fraction form
    17,587/24,266.18 = 10,782.48/x
  3. Step 3: Cross multiply
    17,587x = 24,266.18 × 10,782.48
  4. Step 4: Simplify right side
    17,587x = 261,649,600.53
  5. Step 5: Solve for x
    x = 261,649,600.53/17,587
  6. Step 6: Final answer
    x = 14,877.44

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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.