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Finding the Fourth Proportional to 15,842.72, 23,748.40 and 7,508

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Solution

The fourth proportional to 15,842.72, 23,748.40 and 7,508 is: 11,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.72 : 23,748.40 = 7,508 : x
  2. Step 2: Convert to fraction form
    15,842.72/23,748.40 = 7,508/x
  3. Step 3: Cross multiply
    15,842.72x = 23,748.40 × 7,508
  4. Step 4: Simplify right side
    15,842.72x = 178,302,987.20
  5. Step 5: Solve for x
    x = 178,302,987.20/15,842.72
  6. Step 6: Final answer
    x = 11,254.57

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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.