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Finding the Fourth Proportional to 23,113.72, 34,670.58 and 9,253

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Solution

The fourth proportional to 23,113.72, 34,670.58 and 9,253 is: 13,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,113.72 : 34,670.58 = 9,253 : x
  2. Step 2: Convert to fraction form
    23,113.72/34,670.58 = 9,253/x
  3. Step 3: Cross multiply
    23,113.72x = 34,670.58 × 9,253
  4. Step 4: Simplify right side
    23,113.72x = 320,806,876.74
  5. Step 5: Solve for x
    x = 320,806,876.74/23,113.72
  6. Step 6: Final answer
    x = 13,879.50

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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.