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Finding the Fourth Proportional to 25,234, 34,824.12 and 14,056

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Solution

The fourth proportional to 25,234, 34,824.12 and 14,056 is: 19,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,234 : 34,824.12 = 14,056 : x
  2. Step 2: Convert to fraction form
    25,234/34,824.12 = 14,056/x
  3. Step 3: Cross multiply
    25,234x = 34,824.12 × 14,056
  4. Step 4: Simplify right side
    25,234x = 489,487,830.72
  5. Step 5: Solve for x
    x = 489,487,830.72/25,234
  6. Step 6: Final answer
    x = 19,397.95

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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.