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Finding the Fourth Proportional to 14,511.67, 21,767.50 and 9,580.15

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Solution

The fourth proportional to 14,511.67, 21,767.50 and 9,580.15 is: 14,370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.67 : 21,767.50 = 9,580.15 : x
  2. Step 2: Convert to fraction form
    14,511.67/21,767.50 = 9,580.15/x
  3. Step 3: Cross multiply
    14,511.67x = 21,767.50 × 9,580.15
  4. Step 4: Simplify right side
    14,511.67x = 208,535,915.13
  5. Step 5: Solve for x
    x = 208,535,915.13/14,511.67
  6. Step 6: Final answer
    x = 14,370.22

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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.