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Finding the Fourth Proportional to 14,101.48, 19,462.12 and 8,132

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Solution

The fourth proportional to 14,101.48, 19,462.12 and 8,132 is: 11,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.48 : 19,462.12 = 8,132 : x
  2. Step 2: Convert to fraction form
    14,101.48/19,462.12 = 8,132/x
  3. Step 3: Cross multiply
    14,101.48x = 19,462.12 × 8,132
  4. Step 4: Simplify right side
    14,101.48x = 158,265,959.84
  5. Step 5: Solve for x
    x = 158,265,959.84/14,101.48
  6. Step 6: Final answer
    x = 11,223.36

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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.