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Finding the Fourth Proportional to 22,292.98, 33,445.26 and 6,497.64

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Solution

The fourth proportional to 22,292.98, 33,445.26 and 6,497.64 is: 9,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292.98 : 33,445.26 = 6,497.64 : x
  2. Step 2: Convert to fraction form
    22,292.98/33,445.26 = 6,497.64/x
  3. Step 3: Cross multiply
    22,292.98x = 33,445.26 × 6,497.64
  4. Step 4: Simplify right side
    22,292.98x = 217,315,259.19
  5. Step 5: Solve for x
    x = 217,315,259.19/22,292.98
  6. Step 6: Final answer
    x = 9,748.15

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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.