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Finding the Fourth Proportional to 23,530.56, 32,470.57 and 12,920.88

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Solution

The fourth proportional to 23,530.56, 32,470.57 and 12,920.88 is: 17,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.56 : 32,470.57 = 12,920.88 : x
  2. Step 2: Convert to fraction form
    23,530.56/32,470.57 = 12,920.88/x
  3. Step 3: Cross multiply
    23,530.56x = 32,470.57 × 12,920.88
  4. Step 4: Simplify right side
    23,530.56x = 419,548,338.50
  5. Step 5: Solve for x
    x = 419,548,338.50/23,530.56
  6. Step 6: Final answer
    x = 17,829.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.