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Finding the Fourth Proportional to 26,798.32, 40,222.32 and 13,660.56

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Solution

The fourth proportional to 26,798.32, 40,222.32 and 13,660.56 is: 20,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,798.32 : 40,222.32 = 13,660.56 : x
  2. Step 2: Convert to fraction form
    26,798.32/40,222.32 = 13,660.56/x
  3. Step 3: Cross multiply
    26,798.32x = 40,222.32 × 13,660.56
  4. Step 4: Simplify right side
    26,798.32x = 549,459,415.70
  5. Step 5: Solve for x
    x = 549,459,415.70/26,798.32
  6. Step 6: Final answer
    x = 20,503.50

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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.