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Finding the Fourth Proportional to 25,656.34, 38,484.24 and 8,126.16

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Solution

The fourth proportional to 25,656.34, 38,484.24 and 8,126.16 is: 12,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,656.34 : 38,484.24 = 8,126.16 : x
  2. Step 2: Convert to fraction form
    25,656.34/38,484.24 = 8,126.16/x
  3. Step 3: Cross multiply
    25,656.34x = 38,484.24 × 8,126.16
  4. Step 4: Simplify right side
    25,656.34x = 312,729,264.49
  5. Step 5: Solve for x
    x = 312,729,264.49/25,656.34
  6. Step 6: Final answer
    x = 12,189.16

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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.