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Finding the Fourth Proportional to 26,046, 35,943.20 and 14,109.44

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Solution

The fourth proportional to 26,046, 35,943.20 and 14,109.44 is: 19,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,046 : 35,943.20 = 14,109.44 : x
  2. Step 2: Convert to fraction form
    26,046/35,943.20 = 14,109.44/x
  3. Step 3: Cross multiply
    26,046x = 35,943.20 × 14,109.44
  4. Step 4: Simplify right side
    26,046x = 507,138,423.81
  5. Step 5: Solve for x
    x = 507,138,423.81/26,046
  6. Step 6: Final answer
    x = 19,470.88

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