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Finding the Fourth Proportional to 26,970.50, 40,463.74 and 13,832.10

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Solution

The fourth proportional to 26,970.50, 40,463.74 and 13,832.10 is: 20,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,970.50 : 40,463.74 = 13,832.10 : x
  2. Step 2: Convert to fraction form
    26,970.50/40,463.74 = 13,832.10/x
  3. Step 3: Cross multiply
    26,970.50x = 40,463.74 × 13,832.10
  4. Step 4: Simplify right side
    26,970.50x = 559,698,498.05
  5. Step 5: Solve for x
    x = 559,698,498.05/26,970.50
  6. Step 6: Final answer
    x = 20,752.25

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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.