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Finding the Fourth Proportional to 25,685.69, 35,438.31 and 14,353.65

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Solution

The fourth proportional to 25,685.69, 35,438.31 and 14,353.65 is: 19,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685.69 : 35,438.31 = 14,353.65 : x
  2. Step 2: Convert to fraction form
    25,685.69/35,438.31 = 14,353.65/x
  3. Step 3: Cross multiply
    25,685.69x = 35,438.31 × 14,353.65
  4. Step 4: Simplify right side
    25,685.69x = 508,669,098.33
  5. Step 5: Solve for x
    x = 508,669,098.33/25,685.69
  6. Step 6: Final answer
    x = 19,803.60

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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.