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Finding the Fourth Proportional to 14,538.69, 21,792.02 and 8,284.91

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Solution

The fourth proportional to 14,538.69, 21,792.02 and 8,284.91 is: 12,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.69 : 21,792.02 = 8,284.91 : x
  2. Step 2: Convert to fraction form
    14,538.69/21,792.02 = 8,284.91/x
  3. Step 3: Cross multiply
    14,538.69x = 21,792.02 × 8,284.91
  4. Step 4: Simplify right side
    14,538.69x = 180,544,774.03
  5. Step 5: Solve for x
    x = 180,544,774.03/14,538.69
  6. Step 6: Final answer
    x = 12,418.23

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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.