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Finding the Fourth Proportional to 22,465.88, 31,002.84 and 12,257

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Solution

The fourth proportional to 22,465.88, 31,002.84 and 12,257 is: 16,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.88 : 31,002.84 = 12,257 : x
  2. Step 2: Convert to fraction form
    22,465.88/31,002.84 = 12,257/x
  3. Step 3: Cross multiply
    22,465.88x = 31,002.84 × 12,257
  4. Step 4: Simplify right side
    22,465.88x = 380,001,809.88
  5. Step 5: Solve for x
    x = 380,001,809.88/22,465.88
  6. Step 6: Final answer
    x = 16,914.62

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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.