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Finding the Fourth Proportional to 14,965.76, 22,462.52 and 7,575.44

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Solution

The fourth proportional to 14,965.76, 22,462.52 and 7,575.44 is: 11,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.76 : 22,462.52 = 7,575.44 : x
  2. Step 2: Convert to fraction form
    14,965.76/22,462.52 = 7,575.44/x
  3. Step 3: Cross multiply
    14,965.76x = 22,462.52 × 7,575.44
  4. Step 4: Simplify right side
    14,965.76x = 170,163,472.51
  5. Step 5: Solve for x
    x = 170,163,472.51/14,965.76
  6. Step 6: Final answer
    x = 11,370.19

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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.