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Finding the Fourth Proportional to 25,646.70, 38,466.20 and 8,114.26

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Solution

The fourth proportional to 25,646.70, 38,466.20 and 8,114.26 is: 12,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,646.70 : 38,466.20 = 8,114.26 : x
  2. Step 2: Convert to fraction form
    25,646.70/38,466.20 = 8,114.26/x
  3. Step 3: Cross multiply
    25,646.70x = 38,466.20 × 8,114.26
  4. Step 4: Simplify right side
    25,646.70x = 312,124,748.01
  5. Step 5: Solve for x
    x = 312,124,748.01/25,646.70
  6. Step 6: Final answer
    x = 12,170.17

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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.