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Finding the Fourth Proportional to 14,207.67, 21,316.95 and 5,443.20

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Solution

The fourth proportional to 14,207.67, 21,316.95 and 5,443.20 is: 8,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,207.67 : 21,316.95 = 5,443.20 : x
  2. Step 2: Convert to fraction form
    14,207.67/21,316.95 = 5,443.20/x
  3. Step 3: Cross multiply
    14,207.67x = 21,316.95 × 5,443.20
  4. Step 4: Simplify right side
    14,207.67x = 116,032,422.24
  5. Step 5: Solve for x
    x = 116,032,422.24/14,207.67
  6. Step 6: Final answer
    x = 8,166.89

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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.