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Finding the Fourth Proportional to 25,384.40, 38,069.19 and 7,614.35

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Solution

The fourth proportional to 25,384.40, 38,069.19 and 7,614.35 is: 11,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,384.40 : 38,069.19 = 7,614.35 : x
  2. Step 2: Convert to fraction form
    25,384.40/38,069.19 = 7,614.35/x
  3. Step 3: Cross multiply
    25,384.40x = 38,069.19 × 7,614.35
  4. Step 4: Simplify right side
    25,384.40x = 289,871,946.53
  5. Step 5: Solve for x
    x = 289,871,946.53/25,384.40
  6. Step 6: Final answer
    x = 11,419.30

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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.