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Finding the Fourth Proportional to 16,950.48, 25,416 and 15,972

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Solution

The fourth proportional to 16,950.48, 25,416 and 15,972 is: 23,948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,950.48 : 25,416 = 15,972 : x
  2. Step 2: Convert to fraction form
    16,950.48/25,416 = 15,972/x
  3. Step 3: Cross multiply
    16,950.48x = 25,416 × 15,972
  4. Step 4: Simplify right side
    16,950.48x = 405,944,352
  5. Step 5: Solve for x
    x = 405,944,352/16,950.48
  6. Step 6: Final answer
    x = 23,948.84

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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.