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Finding the Fourth Proportional to 14,211.68, 21,308.40 and 5,897.43

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Solution

The fourth proportional to 14,211.68, 21,308.40 and 5,897.43 is: 8,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.68 : 21,308.40 = 5,897.43 : x
  2. Step 2: Convert to fraction form
    14,211.68/21,308.40 = 5,897.43/x
  3. Step 3: Cross multiply
    14,211.68x = 21,308.40 × 5,897.43
  4. Step 4: Simplify right side
    14,211.68x = 125,664,775.30
  5. Step 5: Solve for x
    x = 125,664,775.30/14,211.68
  6. Step 6: Final answer
    x = 8,842.36

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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.