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Finding the Fourth Proportional to 26,578.71, 39,855.06 and 11,598.50

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Solution

The fourth proportional to 26,578.71, 39,855.06 and 11,598.50 is: 17,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,578.71 : 39,855.06 = 11,598.50 : x
  2. Step 2: Convert to fraction form
    26,578.71/39,855.06 = 11,598.50/x
  3. Step 3: Cross multiply
    26,578.71x = 39,855.06 × 11,598.50
  4. Step 4: Simplify right side
    26,578.71x = 462,258,714.13
  5. Step 5: Solve for x
    x = 462,258,714.13/26,578.71
  6. Step 6: Final answer
    x = 17,392.07

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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.