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Finding the Fourth Proportional to 25,618.50, 35,353.53 and 13,842.50

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Solution

The fourth proportional to 25,618.50, 35,353.53 and 13,842.50 is: 19,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,618.50 : 35,353.53 = 13,842.50 : x
  2. Step 2: Convert to fraction form
    25,618.50/35,353.53 = 13,842.50/x
  3. Step 3: Cross multiply
    25,618.50x = 35,353.53 × 13,842.50
  4. Step 4: Simplify right side
    25,618.50x = 489,381,239.03
  5. Step 5: Solve for x
    x = 489,381,239.03/25,618.50
  6. Step 6: Final answer
    x = 19,102.65

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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.