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Finding the Fourth Proportional to 14,010.78, 21,019.50 and 4,015.65

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Solution

The fourth proportional to 14,010.78, 21,019.50 and 4,015.65 is: 6,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,010.78 : 21,019.50 = 4,015.65 : x
  2. Step 2: Convert to fraction form
    14,010.78/21,019.50 = 4,015.65/x
  3. Step 3: Cross multiply
    14,010.78x = 21,019.50 × 4,015.65
  4. Step 4: Simplify right side
    14,010.78x = 84,406,955.18
  5. Step 5: Solve for x
    x = 84,406,955.18/14,010.78
  6. Step 6: Final answer
    x = 6,024.43

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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.