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Finding the Fourth Proportional to 22,801.61, 31,466.75 and 14,304.09

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Solution

The fourth proportional to 22,801.61, 31,466.75 and 14,304.09 is: 19,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.61 : 31,466.75 = 14,304.09 : x
  2. Step 2: Convert to fraction form
    22,801.61/31,466.75 = 14,304.09/x
  3. Step 3: Cross multiply
    22,801.61x = 31,466.75 × 14,304.09
  4. Step 4: Simplify right side
    22,801.61x = 450,103,152.49
  5. Step 5: Solve for x
    x = 450,103,152.49/22,801.61
  6. Step 6: Final answer
    x = 19,739.98

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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.