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Finding the Fourth Proportional to 23,347.69, 32,218.50 and 13,278.58

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Solution

The fourth proportional to 23,347.69, 32,218.50 and 13,278.58 is: 18,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.69 : 32,218.50 = 13,278.58 : x
  2. Step 2: Convert to fraction form
    23,347.69/32,218.50 = 13,278.58/x
  3. Step 3: Cross multiply
    23,347.69x = 32,218.50 × 13,278.58
  4. Step 4: Simplify right side
    23,347.69x = 427,815,929.73
  5. Step 5: Solve for x
    x = 427,815,929.73/23,347.69
  6. Step 6: Final answer
    x = 18,323.69

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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.