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Finding the Fourth Proportional to 25,688.34, 38,535.08 and 6,968.69

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Solution

The fourth proportional to 25,688.34, 38,535.08 and 6,968.69 is: 10,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,688.34 : 38,535.08 = 6,968.69 : x
  2. Step 2: Convert to fraction form
    25,688.34/38,535.08 = 6,968.69/x
  3. Step 3: Cross multiply
    25,688.34x = 38,535.08 × 6,968.69
  4. Step 4: Simplify right side
    25,688.34x = 268,538,799.13
  5. Step 5: Solve for x
    x = 268,538,799.13/25,688.34
  6. Step 6: Final answer
    x = 10,453.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.