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Finding the Fourth Proportional to 22,697.19, 31,322.24 and 13,137.07

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Solution

The fourth proportional to 22,697.19, 31,322.24 and 13,137.07 is: 18,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.19 : 31,322.24 = 13,137.07 : x
  2. Step 2: Convert to fraction form
    22,697.19/31,322.24 = 13,137.07/x
  3. Step 3: Cross multiply
    22,697.19x = 31,322.24 × 13,137.07
  4. Step 4: Simplify right side
    22,697.19x = 411,482,459.44
  5. Step 5: Solve for x
    x = 411,482,459.44/22,697.19
  6. Step 6: Final answer
    x = 18,129.22

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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.