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Finding the Fourth Proportional to 26,461.32, 39,664.02 and 9,583.08

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Solution

The fourth proportional to 26,461.32, 39,664.02 and 9,583.08 is: 14,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,461.32 : 39,664.02 = 9,583.08 : x
  2. Step 2: Convert to fraction form
    26,461.32/39,664.02 = 9,583.08/x
  3. Step 3: Cross multiply
    26,461.32x = 39,664.02 × 9,583.08
  4. Step 4: Simplify right side
    26,461.32x = 380,103,476.78
  5. Step 5: Solve for x
    x = 380,103,476.78/26,461.32
  6. Step 6: Final answer
    x = 14,364.49

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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.