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Finding the Fourth Proportional to 16,307.52, 22,514.40 and 10,347.84

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Solution

The fourth proportional to 16,307.52, 22,514.40 and 10,347.84 is: 14,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.52 : 22,514.40 = 10,347.84 : x
  2. Step 2: Convert to fraction form
    16,307.52/22,514.40 = 10,347.84/x
  3. Step 3: Cross multiply
    16,307.52x = 22,514.40 × 10,347.84
  4. Step 4: Simplify right side
    16,307.52x = 232,975,408.90
  5. Step 5: Solve for x
    x = 232,975,408.90/16,307.52
  6. Step 6: Final answer
    x = 14,286.38

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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.