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Finding the Fourth Proportional to 22,259.16, 33,390.47 and 6,464.46

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Solution

The fourth proportional to 22,259.16, 33,390.47 and 6,464.46 is: 9,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,259.16 : 33,390.47 = 6,464.46 : x
  2. Step 2: Convert to fraction form
    22,259.16/33,390.47 = 6,464.46/x
  3. Step 3: Cross multiply
    22,259.16x = 33,390.47 × 6,464.46
  4. Step 4: Simplify right side
    22,259.16x = 215,851,357.70
  5. Step 5: Solve for x
    x = 215,851,357.70/22,259.16
  6. Step 6: Final answer
    x = 9,697.19

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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.