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Finding the Fourth Proportional to 23,318.91, 34,978.02 and 5,788.74

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Solution

The fourth proportional to 23,318.91, 34,978.02 and 5,788.74 is: 8,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,318.91 : 34,978.02 = 5,788.74 : x
  2. Step 2: Convert to fraction form
    23,318.91/34,978.02 = 5,788.74/x
  3. Step 3: Cross multiply
    23,318.91x = 34,978.02 × 5,788.74
  4. Step 4: Simplify right side
    23,318.91x = 202,478,663.49
  5. Step 5: Solve for x
    x = 202,478,663.49/23,318.91
  6. Step 6: Final answer
    x = 8,683.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.