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Finding the Fourth Proportional to 26,909.16, 40,334.58 and 13,029

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Solution

The fourth proportional to 26,909.16, 40,334.58 and 13,029 is: 19,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,909.16 : 40,334.58 = 13,029 : x
  2. Step 2: Convert to fraction form
    26,909.16/40,334.58 = 13,029/x
  3. Step 3: Cross multiply
    26,909.16x = 40,334.58 × 13,029
  4. Step 4: Simplify right side
    26,909.16x = 525,519,242.82
  5. Step 5: Solve for x
    x = 525,519,242.82/26,909.16
  6. Step 6: Final answer
    x = 19,529.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.