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Finding the Fourth Proportional to 16,264.64, 24,394.80 and 4,578.86

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Solution

The fourth proportional to 16,264.64, 24,394.80 and 4,578.86 is: 6,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.64 : 24,394.80 = 4,578.86 : x
  2. Step 2: Convert to fraction form
    16,264.64/24,394.80 = 4,578.86/x
  3. Step 3: Cross multiply
    16,264.64x = 24,394.80 × 4,578.86
  4. Step 4: Simplify right side
    16,264.64x = 111,700,373.93
  5. Step 5: Solve for x
    x = 111,700,373.93/16,264.64
  6. Step 6: Final answer
    x = 6,867.68

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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.