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Finding the Fourth Proportional to 21,574.50, 32,373.37 and 9,103.17

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Solution

The fourth proportional to 21,574.50, 32,373.37 and 9,103.17 is: 13,659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.50 : 32,373.37 = 9,103.17 : x
  2. Step 2: Convert to fraction form
    21,574.50/32,373.37 = 9,103.17/x
  3. Step 3: Cross multiply
    21,574.50x = 32,373.37 × 9,103.17
  4. Step 4: Simplify right side
    21,574.50x = 294,700,290.58
  5. Step 5: Solve for x
    x = 294,700,290.58/21,574.50
  6. Step 6: Final answer
    x = 13,659.66

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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.