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Finding the Fourth Proportional to 22,783.88, 31,422.12 and 14,823.20

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Solution

The fourth proportional to 22,783.88, 31,422.12 and 14,823.20 is: 20,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.88 : 31,422.12 = 14,823.20 : x
  2. Step 2: Convert to fraction form
    22,783.88/31,422.12 = 14,823.20/x
  3. Step 3: Cross multiply
    22,783.88x = 31,422.12 × 14,823.20
  4. Step 4: Simplify right side
    22,783.88x = 465,776,369.18
  5. Step 5: Solve for x
    x = 465,776,369.18/22,783.88
  6. Step 6: Final answer
    x = 20,443.24

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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.