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Finding the Fourth Proportional to 16,538.32, 24,807.71 and 4,851.78

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Solution

The fourth proportional to 16,538.32, 24,807.71 and 4,851.78 is: 7,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.32 : 24,807.71 = 4,851.78 : x
  2. Step 2: Convert to fraction form
    16,538.32/24,807.71 = 4,851.78/x
  3. Step 3: Cross multiply
    16,538.32x = 24,807.71 × 4,851.78
  4. Step 4: Simplify right side
    16,538.32x = 120,361,551.22
  5. Step 5: Solve for x
    x = 120,361,551.22/16,538.32
  6. Step 6: Final answer
    x = 7,277.74

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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.