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Finding the Fourth Proportional to 14,578.36, 21,867.86 and 5,817.40

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Solution

The fourth proportional to 14,578.36, 21,867.86 and 5,817.40 is: 8,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.36 : 21,867.86 = 5,817.40 : x
  2. Step 2: Convert to fraction form
    14,578.36/21,867.86 = 5,817.40/x
  3. Step 3: Cross multiply
    14,578.36x = 21,867.86 × 5,817.40
  4. Step 4: Simplify right side
    14,578.36x = 127,214,088.76
  5. Step 5: Solve for x
    x = 127,214,088.76/14,578.36
  6. Step 6: Final answer
    x = 8,726.23

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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.