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Finding the Fourth Proportional to 20,437.08, 30,656.19 and 5,646.00

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Solution

The fourth proportional to 20,437.08, 30,656.19 and 5,646.00 is: 8,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,437.08 : 30,656.19 = 5,646.00 : x
  2. Step 2: Convert to fraction form
    20,437.08/30,656.19 = 5,646.00/x
  3. Step 3: Cross multiply
    20,437.08x = 30,656.19 × 5,646.00
  4. Step 4: Simplify right side
    20,437.08x = 173,084,772.10
  5. Step 5: Solve for x
    x = 173,084,772.10/20,437.08
  6. Step 6: Final answer
    x = 8,469.15

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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.