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Finding the Fourth Proportional to 23,200.40, 34,800.48 and 7,618.02

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Solution

The fourth proportional to 23,200.40, 34,800.48 and 7,618.02 is: 11,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.40 : 34,800.48 = 7,618.02 : x
  2. Step 2: Convert to fraction form
    23,200.40/34,800.48 = 7,618.02/x
  3. Step 3: Cross multiply
    23,200.40x = 34,800.48 × 7,618.02
  4. Step 4: Simplify right side
    23,200.40x = 265,110,752.65
  5. Step 5: Solve for x
    x = 265,110,752.65/23,200.40
  6. Step 6: Final answer
    x = 11,426.99

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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.