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Finding the Fourth Proportional to 26,078.64, 39,114 and 8,548.08

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Solution

The fourth proportional to 26,078.64, 39,114 and 8,548.08 is: 12,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,078.64 : 39,114 = 8,548.08 : x
  2. Step 2: Convert to fraction form
    26,078.64/39,114 = 8,548.08/x
  3. Step 3: Cross multiply
    26,078.64x = 39,114 × 8,548.08
  4. Step 4: Simplify right side
    26,078.64x = 334,349,601.12
  5. Step 5: Solve for x
    x = 334,349,601.12/26,078.64
  6. Step 6: Final answer
    x = 12,820.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.