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Finding the Fourth Proportional to 23,225.28, 34,840.80 and 7,648.32

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Solution

The fourth proportional to 23,225.28, 34,840.80 and 7,648.32 is: 11,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225.28 : 34,840.80 = 7,648.32 : x
  2. Step 2: Convert to fraction form
    23,225.28/34,840.80 = 7,648.32/x
  3. Step 3: Cross multiply
    23,225.28x = 34,840.80 × 7,648.32
  4. Step 4: Simplify right side
    23,225.28x = 266,473,587.46
  5. Step 5: Solve for x
    x = 266,473,587.46/23,225.28
  6. Step 6: Final answer
    x = 11,473.43

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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.