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Finding the Fourth Proportional to 26,564.50, 36,660.76 and 15,386.50

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Solution

The fourth proportional to 26,564.50, 36,660.76 and 15,386.50 is: 21,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564.50 : 36,660.76 = 15,386.50 : x
  2. Step 2: Convert to fraction form
    26,564.50/36,660.76 = 15,386.50/x
  3. Step 3: Cross multiply
    26,564.50x = 36,660.76 × 15,386.50
  4. Step 4: Simplify right side
    26,564.50x = 564,080,783.74
  5. Step 5: Solve for x
    x = 564,080,783.74/26,564.50
  6. Step 6: Final answer
    x = 21,234.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.