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Finding the Fourth Proportional to 25,343.32, 38,011.14 and 9,758.68

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Solution

The fourth proportional to 25,343.32, 38,011.14 and 9,758.68 is: 14,636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,343.32 : 38,011.14 = 9,758.68 : x
  2. Step 2: Convert to fraction form
    25,343.32/38,011.14 = 9,758.68/x
  3. Step 3: Cross multiply
    25,343.32x = 38,011.14 × 9,758.68
  4. Step 4: Simplify right side
    25,343.32x = 370,938,551.70
  5. Step 5: Solve for x
    x = 370,938,551.70/25,343.32
  6. Step 6: Final answer
    x = 14,636.54

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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.