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Finding the Fourth Proportional to 16,561.41, 24,784.70 and 15,872.50

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Solution

The fourth proportional to 16,561.41, 24,784.70 and 15,872.50 is: 23,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.41 : 24,784.70 = 15,872.50 : x
  2. Step 2: Convert to fraction form
    16,561.41/24,784.70 = 15,872.50/x
  3. Step 3: Cross multiply
    16,561.41x = 24,784.70 × 15,872.50
  4. Step 4: Simplify right side
    16,561.41x = 393,395,328.32
  5. Step 5: Solve for x
    x = 393,395,328.32/16,561.41
  6. Step 6: Final answer
    x = 23,753.74

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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.