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Finding the Fourth Proportional to 14,153.54, 19,531.41 and 7,865.78

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Solution

The fourth proportional to 14,153.54, 19,531.41 and 7,865.78 is: 10,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.54 : 19,531.41 = 7,865.78 : x
  2. Step 2: Convert to fraction form
    14,153.54/19,531.41 = 7,865.78/x
  3. Step 3: Cross multiply
    14,153.54x = 19,531.41 × 7,865.78
  4. Step 4: Simplify right side
    14,153.54x = 153,629,774.15
  5. Step 5: Solve for x
    x = 153,629,774.15/14,153.54
  6. Step 6: Final answer
    x = 10,854.51

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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.