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Finding the Fourth Proportional to 23,752.96, 32,775.40 and 13,681.84

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Solution

The fourth proportional to 23,752.96, 32,775.40 and 13,681.84 is: 18,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.96 : 32,775.40 = 13,681.84 : x
  2. Step 2: Convert to fraction form
    23,752.96/32,775.40 = 13,681.84/x
  3. Step 3: Cross multiply
    23,752.96x = 32,775.40 × 13,681.84
  4. Step 4: Simplify right side
    23,752.96x = 448,427,778.74
  5. Step 5: Solve for x
    x = 448,427,778.74/23,752.96
  6. Step 6: Final answer
    x = 18,878.82

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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.