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Finding the Fourth Proportional to 25,082.69, 37,638.68 and 9,501.53

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Solution

The fourth proportional to 25,082.69, 37,638.68 and 9,501.53 is: 14,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,082.69 : 37,638.68 = 9,501.53 : x
  2. Step 2: Convert to fraction form
    25,082.69/37,638.68 = 9,501.53/x
  3. Step 3: Cross multiply
    25,082.69x = 37,638.68 × 9,501.53
  4. Step 4: Simplify right side
    25,082.69x = 357,624,811.48
  5. Step 5: Solve for x
    x = 357,624,811.48/25,082.69
  6. Step 6: Final answer
    x = 14,257.84

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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.