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Finding the Fourth Proportional to 14,189.95, 21,278.67 and 5,301.82

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Solution

The fourth proportional to 14,189.95, 21,278.67 and 5,301.82 is: 7,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.95 : 21,278.67 = 5,301.82 : x
  2. Step 2: Convert to fraction form
    14,189.95/21,278.67 = 5,301.82/x
  3. Step 3: Cross multiply
    14,189.95x = 21,278.67 × 5,301.82
  4. Step 4: Simplify right side
    14,189.95x = 112,815,678.18
  5. Step 5: Solve for x
    x = 112,815,678.18/14,189.95
  6. Step 6: Final answer
    x = 7,950.39

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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.