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Finding the Fourth Proportional to 15,675.88, 23,483 and 9,088.20

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Solution

The fourth proportional to 15,675.88, 23,483 and 9,088.20 is: 13,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675.88 : 23,483 = 9,088.20 : x
  2. Step 2: Convert to fraction form
    15,675.88/23,483 = 9,088.20/x
  3. Step 3: Cross multiply
    15,675.88x = 23,483 × 9,088.20
  4. Step 4: Simplify right side
    15,675.88x = 213,418,200.60
  5. Step 5: Solve for x
    x = 213,418,200.60/15,675.88
  6. Step 6: Final answer
    x = 13,614.43

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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.