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Finding the Fourth Proportional to 25,478.36, 38,219.96 and 9,897.20

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Solution

The fourth proportional to 25,478.36, 38,219.96 and 9,897.20 is: 14,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,478.36 : 38,219.96 = 9,897.20 : x
  2. Step 2: Convert to fraction form
    25,478.36/38,219.96 = 9,897.20/x
  3. Step 3: Cross multiply
    25,478.36x = 38,219.96 × 9,897.20
  4. Step 4: Simplify right side
    25,478.36x = 378,270,588.11
  5. Step 5: Solve for x
    x = 378,270,588.11/25,478.36
  6. Step 6: Final answer
    x = 14,846.74

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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.