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Finding the Fourth Proportional to 25,524, 35,223.48 and 15,588

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Solution

The fourth proportional to 25,524, 35,223.48 and 15,588 is: 21,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524 : 35,223.48 = 15,588 : x
  2. Step 2: Convert to fraction form
    25,524/35,223.48 = 15,588/x
  3. Step 3: Cross multiply
    25,524x = 35,223.48 × 15,588
  4. Step 4: Simplify right side
    25,524x = 549,063,606.24
  5. Step 5: Solve for x
    x = 549,063,606.24/25,524
  6. Step 6: Final answer
    x = 21,511.66

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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.