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Finding the Fourth Proportional to 25,351.47, 38,000.39 and 9,549.67

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Solution

The fourth proportional to 25,351.47, 38,000.39 and 9,549.67 is: 14,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,351.47 : 38,000.39 = 9,549.67 : x
  2. Step 2: Convert to fraction form
    25,351.47/38,000.39 = 9,549.67/x
  3. Step 3: Cross multiply
    25,351.47x = 38,000.39 × 9,549.67
  4. Step 4: Simplify right side
    25,351.47x = 362,891,184.37
  5. Step 5: Solve for x
    x = 362,891,184.37/25,351.47
  6. Step 6: Final answer
    x = 14,314.40

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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.