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Finding the Fourth Proportional to 20,237.42, 30,349.94 and 9,702.00

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Solution

The fourth proportional to 20,237.42, 30,349.94 and 9,702.00 is: 14,550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,237.42 : 30,349.94 = 9,702.00 : x
  2. Step 2: Convert to fraction form
    20,237.42/30,349.94 = 9,702.00/x
  3. Step 3: Cross multiply
    20,237.42x = 30,349.94 × 9,702.00
  4. Step 4: Simplify right side
    20,237.42x = 294,455,209.30
  5. Step 5: Solve for x
    x = 294,455,209.30/20,237.42
  6. Step 6: Final answer
    x = 14,550.04

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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.