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Finding the Fourth Proportional to 22,899.34, 31,595.19 and 13,466.14

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Solution

The fourth proportional to 22,899.34, 31,595.19 and 13,466.14 is: 18,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,899.34 : 31,595.19 = 13,466.14 : x
  2. Step 2: Convert to fraction form
    22,899.34/31,595.19 = 13,466.14/x
  3. Step 3: Cross multiply
    22,899.34x = 31,595.19 × 13,466.14
  4. Step 4: Simplify right side
    22,899.34x = 425,465,251.87
  5. Step 5: Solve for x
    x = 425,465,251.87/22,899.34
  6. Step 6: Final answer
    x = 18,579.80

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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.