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Finding the Fourth Proportional to 22,766.64, 31,425.48 and 13,335

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Solution

The fourth proportional to 22,766.64, 31,425.48 and 13,335 is: 18,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,766.64 : 31,425.48 = 13,335 : x
  2. Step 2: Convert to fraction form
    22,766.64/31,425.48 = 13,335/x
  3. Step 3: Cross multiply
    22,766.64x = 31,425.48 × 13,335
  4. Step 4: Simplify right side
    22,766.64x = 419,058,775.80
  5. Step 5: Solve for x
    x = 419,058,775.80/22,766.64
  6. Step 6: Final answer
    x = 18,406.70

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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.