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Finding the Fourth Proportional to 23,272.12, 34,908.06 and 9,421

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Solution

The fourth proportional to 23,272.12, 34,908.06 and 9,421 is: 14,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,272.12 : 34,908.06 = 9,421 : x
  2. Step 2: Convert to fraction form
    23,272.12/34,908.06 = 9,421/x
  3. Step 3: Cross multiply
    23,272.12x = 34,908.06 × 9,421
  4. Step 4: Simplify right side
    23,272.12x = 328,868,833.26
  5. Step 5: Solve for x
    x = 328,868,833.26/23,272.12
  6. Step 6: Final answer
    x = 14,131.45

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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.