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Finding the Fourth Proportional to 22,465.69, 31,002.88 and 12,394.49

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Solution

The fourth proportional to 22,465.69, 31,002.88 and 12,394.49 is: 17,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.69 : 31,002.88 = 12,394.49 : x
  2. Step 2: Convert to fraction form
    22,465.69/31,002.88 = 12,394.49/x
  3. Step 3: Cross multiply
    22,465.69x = 31,002.88 × 12,394.49
  4. Step 4: Simplify right side
    22,465.69x = 384,264,886.13
  5. Step 5: Solve for x
    x = 384,264,886.13/22,465.69
  6. Step 6: Final answer
    x = 17,104.52

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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.