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Finding the Fourth Proportional to 22,530.19, 31,093.92 and 12,459.40

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Solution

The fourth proportional to 22,530.19, 31,093.92 and 12,459.40 is: 17,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.19 : 31,093.92 = 12,459.40 : x
  2. Step 2: Convert to fraction form
    22,530.19/31,093.92 = 12,459.40/x
  3. Step 3: Cross multiply
    22,530.19x = 31,093.92 × 12,459.40
  4. Step 4: Simplify right side
    22,530.19x = 387,411,586.85
  5. Step 5: Solve for x
    x = 387,411,586.85/22,530.19
  6. Step 6: Final answer
    x = 17,195.22

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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.