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Finding the Fourth Proportional to 22,465.70, 31,002.88 and 12,394.50

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Solution

The fourth proportional to 22,465.70, 31,002.88 and 12,394.50 is: 17,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.70 : 31,002.88 = 12,394.50 : x
  2. Step 2: Convert to fraction form
    22,465.70/31,002.88 = 12,394.50/x
  3. Step 3: Cross multiply
    22,465.70x = 31,002.88 × 12,394.50
  4. Step 4: Simplify right side
    22,465.70x = 384,265,196.16
  5. Step 5: Solve for x
    x = 384,265,196.16/22,465.70
  6. Step 6: Final answer
    x = 17,104.53

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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.