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Finding the Fourth Proportional to 22,709.34, 31,334.10 and 13,276.08

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Solution

The fourth proportional to 22,709.34, 31,334.10 and 13,276.08 is: 18,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.34 : 31,334.10 = 13,276.08 : x
  2. Step 2: Convert to fraction form
    22,709.34/31,334.10 = 13,276.08/x
  3. Step 3: Cross multiply
    22,709.34x = 31,334.10 × 13,276.08
  4. Step 4: Simplify right side
    22,709.34x = 415,994,018.33
  5. Step 5: Solve for x
    x = 415,994,018.33/22,709.34
  6. Step 6: Final answer
    x = 18,318.19

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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.