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Finding the Fourth Proportional to 14,142.18, 19,515.66 and 7,854.96

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Solution

The fourth proportional to 14,142.18, 19,515.66 and 7,854.96 is: 10,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.18 : 19,515.66 = 7,854.96 : x
  2. Step 2: Convert to fraction form
    14,142.18/19,515.66 = 7,854.96/x
  3. Step 3: Cross multiply
    14,142.18x = 19,515.66 × 7,854.96
  4. Step 4: Simplify right side
    14,142.18x = 153,294,728.67
  5. Step 5: Solve for x
    x = 153,294,728.67/14,142.18
  6. Step 6: Final answer
    x = 10,839.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.