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Finding the Fourth Proportional to 23,045.40, 34,559.46 and 9,891

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Solution

The fourth proportional to 23,045.40, 34,559.46 and 9,891 is: 14,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045.40 : 34,559.46 = 9,891 : x
  2. Step 2: Convert to fraction form
    23,045.40/34,559.46 = 9,891/x
  3. Step 3: Cross multiply
    23,045.40x = 34,559.46 × 9,891
  4. Step 4: Simplify right side
    23,045.40x = 341,827,618.86
  5. Step 5: Solve for x
    x = 341,827,618.86/23,045.40
  6. Step 6: Final answer
    x = 14,832.79

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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.