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Finding the Fourth Proportional to 23,915.72, 32,994.78 and 14,959.82

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Solution

The fourth proportional to 23,915.72, 32,994.78 and 14,959.82 is: 20,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,915.72 : 32,994.78 = 14,959.82 : x
  2. Step 2: Convert to fraction form
    23,915.72/32,994.78 = 14,959.82/x
  3. Step 3: Cross multiply
    23,915.72x = 32,994.78 × 14,959.82
  4. Step 4: Simplify right side
    23,915.72x = 493,595,969.74
  5. Step 5: Solve for x
    x = 493,595,969.74/23,915.72
  6. Step 6: Final answer
    x = 20,638.98

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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.