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Finding the Fourth Proportional to 26,138.84, 36,071.75 and 14,202.28

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Solution

The fourth proportional to 26,138.84, 36,071.75 and 14,202.28 is: 19,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138.84 : 36,071.75 = 14,202.28 : x
  2. Step 2: Convert to fraction form
    26,138.84/36,071.75 = 14,202.28/x
  3. Step 3: Cross multiply
    26,138.84x = 36,071.75 × 14,202.28
  4. Step 4: Simplify right side
    26,138.84x = 512,301,038.92
  5. Step 5: Solve for x
    x = 512,301,038.92/26,138.84
  6. Step 6: Final answer
    x = 19,599.22

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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.