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Finding the Fourth Proportional to 22,695.84, 31,311.66 and 14,078.03

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Solution

The fourth proportional to 22,695.84, 31,311.66 and 14,078.03 is: 19,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,695.84 : 31,311.66 = 14,078.03 : x
  2. Step 2: Convert to fraction form
    22,695.84/31,311.66 = 14,078.03/x
  3. Step 3: Cross multiply
    22,695.84x = 31,311.66 × 14,078.03
  4. Step 4: Simplify right side
    22,695.84x = 440,806,488.83
  5. Step 5: Solve for x
    x = 440,806,488.83/22,695.84
  6. Step 6: Final answer
    x = 19,422.35

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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.