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Finding the Fourth Proportional to 26,291.40, 36,282.24 and 14,355

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Solution

The fourth proportional to 26,291.40, 36,282.24 and 14,355 is: 19,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,291.40 : 36,282.24 = 14,355 : x
  2. Step 2: Convert to fraction form
    26,291.40/36,282.24 = 14,355/x
  3. Step 3: Cross multiply
    26,291.40x = 36,282.24 × 14,355
  4. Step 4: Simplify right side
    26,291.40x = 520,831,555.20
  5. Step 5: Solve for x
    x = 520,831,555.20/26,291.40
  6. Step 6: Final answer
    x = 19,809.96

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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.