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Finding the Fourth Proportional to 14,061.60, 21,085.82 and 5,174.66

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Solution

The fourth proportional to 14,061.60, 21,085.82 and 5,174.66 is: 7,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,061.60 : 21,085.82 = 5,174.66 : x
  2. Step 2: Convert to fraction form
    14,061.60/21,085.82 = 5,174.66/x
  3. Step 3: Cross multiply
    14,061.60x = 21,085.82 × 5,174.66
  4. Step 4: Simplify right side
    14,061.60x = 109,111,936.26
  5. Step 5: Solve for x
    x = 109,111,936.26/14,061.60
  6. Step 6: Final answer
    x = 7,759.57

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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.