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Finding the Fourth Proportional to 26,669.64, 40,008.06 and 9,800.40

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Solution

The fourth proportional to 26,669.64, 40,008.06 and 9,800.40 is: 14,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,669.64 : 40,008.06 = 9,800.40 : x
  2. Step 2: Convert to fraction form
    26,669.64/40,008.06 = 9,800.40/x
  3. Step 3: Cross multiply
    26,669.64x = 40,008.06 × 9,800.40
  4. Step 4: Simplify right side
    26,669.64x = 392,094,991.22
  5. Step 5: Solve for x
    x = 392,094,991.22/26,669.64
  6. Step 6: Final answer
    x = 14,701.92

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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.