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Finding the Fourth Proportional to 23,462.31, 32,351.42 and 14,953.05

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Solution

The fourth proportional to 23,462.31, 32,351.42 and 14,953.05 is: 20,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462.31 : 32,351.42 = 14,953.05 : x
  2. Step 2: Convert to fraction form
    23,462.31/32,351.42 = 14,953.05/x
  3. Step 3: Cross multiply
    23,462.31x = 32,351.42 × 14,953.05
  4. Step 4: Simplify right side
    23,462.31x = 483,752,326.07
  5. Step 5: Solve for x
    x = 483,752,326.07/23,462.31
  6. Step 6: Final answer
    x = 20,618.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.