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Finding the Fourth Proportional to 16,264.27, 24,397.26 and 4,578.40

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Solution

The fourth proportional to 16,264.27, 24,397.26 and 4,578.40 is: 6,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.27 : 24,397.26 = 4,578.40 : x
  2. Step 2: Convert to fraction form
    16,264.27/24,397.26 = 4,578.40/x
  3. Step 3: Cross multiply
    16,264.27x = 24,397.26 × 4,578.40
  4. Step 4: Simplify right side
    16,264.27x = 111,700,428.51
  5. Step 5: Solve for x
    x = 111,700,428.51/16,264.27
  6. Step 6: Final answer
    x = 6,867.84

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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.