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Finding the Fourth Proportional to 26,242.88, 36,214.68 and 14,306

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Solution

The fourth proportional to 26,242.88, 36,214.68 and 14,306 is: 19,742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,242.88 : 36,214.68 = 14,306 : x
  2. Step 2: Convert to fraction form
    26,242.88/36,214.68 = 14,306/x
  3. Step 3: Cross multiply
    26,242.88x = 36,214.68 × 14,306
  4. Step 4: Simplify right side
    26,242.88x = 518,087,212.08
  5. Step 5: Solve for x
    x = 518,087,212.08/26,242.88
  6. Step 6: Final answer
    x = 19,742.01

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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.