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Finding the Fourth Proportional to 23,774.71, 35,680.70 and 10,456.96

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Solution

The fourth proportional to 23,774.71, 35,680.70 and 10,456.96 is: 15,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.71 : 35,680.70 = 10,456.96 : x
  2. Step 2: Convert to fraction form
    23,774.71/35,680.70 = 10,456.96/x
  3. Step 3: Cross multiply
    23,774.71x = 35,680.70 × 10,456.96
  4. Step 4: Simplify right side
    23,774.71x = 373,111,715.73
  5. Step 5: Solve for x
    x = 373,111,715.73/23,774.71
  6. Step 6: Final answer
    x = 15,693.64

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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.