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Finding the Fourth Proportional to 23,314.08, 34,969.68 and 9,462.72

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Solution

The fourth proportional to 23,314.08, 34,969.68 and 9,462.72 is: 14,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.08 : 34,969.68 = 9,462.72 : x
  2. Step 2: Convert to fraction form
    23,314.08/34,969.68 = 9,462.72/x
  3. Step 3: Cross multiply
    23,314.08x = 34,969.68 × 9,462.72
  4. Step 4: Simplify right side
    23,314.08x = 330,908,290.33
  5. Step 5: Solve for x
    x = 330,908,290.33/23,314.08
  6. Step 6: Final answer
    x = 14,193.50

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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.