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Finding the Fourth Proportional to 25,232, 34,821.24 and 14,054

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Solution

The fourth proportional to 25,232, 34,821.24 and 14,054 is: 19,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,232 : 34,821.24 = 14,054 : x
  2. Step 2: Convert to fraction form
    25,232/34,821.24 = 14,054/x
  3. Step 3: Cross multiply
    25,232x = 34,821.24 × 14,054
  4. Step 4: Simplify right side
    25,232x = 489,377,706.96
  5. Step 5: Solve for x
    x = 489,377,706.96/25,232
  6. Step 6: Final answer
    x = 19,395.12

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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.