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Finding the Fourth Proportional to 14,211.49, 21,308.12 and 5,897.24

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Solution

The fourth proportional to 14,211.49, 21,308.12 and 5,897.24 is: 8,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.49 : 21,308.12 = 5,897.24 : x
  2. Step 2: Convert to fraction form
    14,211.49/21,308.12 = 5,897.24/x
  3. Step 3: Cross multiply
    14,211.49x = 21,308.12 × 5,897.24
  4. Step 4: Simplify right side
    14,211.49x = 125,659,081.42
  5. Step 5: Solve for x
    x = 125,659,081.42/14,211.49
  6. Step 6: Final answer
    x = 8,842.08

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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.