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Finding the Fourth Proportional to 22,654.58, 31,266.72 and 16,302.20

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Solution

The fourth proportional to 22,654.58, 31,266.72 and 16,302.20 is: 22,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.58 : 31,266.72 = 16,302.20 : x
  2. Step 2: Convert to fraction form
    22,654.58/31,266.72 = 16,302.20/x
  3. Step 3: Cross multiply
    22,654.58x = 31,266.72 × 16,302.20
  4. Step 4: Simplify right side
    22,654.58x = 509,716,166.45
  5. Step 5: Solve for x
    x = 509,716,166.45/22,654.58
  6. Step 6: Final answer
    x = 22,499.48

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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.