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Finding the Fourth Proportional to 22,809.98, 31,476.05 and 14,311.66

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Solution

The fourth proportional to 22,809.98, 31,476.05 and 14,311.66 is: 19,749.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.98 : 31,476.05 = 14,311.66 : x
  2. Step 2: Convert to fraction form
    22,809.98/31,476.05 = 14,311.66/x
  3. Step 3: Cross multiply
    22,809.98x = 31,476.05 × 14,311.66
  4. Step 4: Simplify right side
    22,809.98x = 450,474,368.36
  5. Step 5: Solve for x
    x = 450,474,368.36/22,809.98
  6. Step 6: Final answer
    x = 19,749.01

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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.