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Finding the Fourth Proportional to 20,203.40, 30,274.35 and 9,658.93

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Solution

The fourth proportional to 20,203.40, 30,274.35 and 9,658.93 is: 14,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.40 : 30,274.35 = 9,658.93 : x
  2. Step 2: Convert to fraction form
    20,203.40/30,274.35 = 9,658.93/x
  3. Step 3: Cross multiply
    20,203.40x = 30,274.35 × 9,658.93
  4. Step 4: Simplify right side
    20,203.40x = 292,417,772.30
  5. Step 5: Solve for x
    x = 292,417,772.30/20,203.40
  6. Step 6: Final answer
    x = 14,473.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.