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Finding the Fourth Proportional to 22,132.55, 33,204.74 and 9,653.58

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Solution

The fourth proportional to 22,132.55, 33,204.74 and 9,653.58 is: 14,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,132.55 : 33,204.74 = 9,653.58 : x
  2. Step 2: Convert to fraction form
    22,132.55/33,204.74 = 9,653.58/x
  3. Step 3: Cross multiply
    22,132.55x = 33,204.74 × 9,653.58
  4. Step 4: Simplify right side
    22,132.55x = 320,544,565.70
  5. Step 5: Solve for x
    x = 320,544,565.70/22,132.55
  6. Step 6: Final answer
    x = 14,482.95

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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.