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Finding the Fourth Proportional to 16,287.85, 22,476.58 and 9,215.74

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Solution

The fourth proportional to 16,287.85, 22,476.58 and 9,215.74 is: 12,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.85 : 22,476.58 = 9,215.74 : x
  2. Step 2: Convert to fraction form
    16,287.85/22,476.58 = 9,215.74/x
  3. Step 3: Cross multiply
    16,287.85x = 22,476.58 × 9,215.74
  4. Step 4: Simplify right side
    16,287.85x = 207,138,317.37
  5. Step 5: Solve for x
    x = 207,138,317.37/16,287.85
  6. Step 6: Final answer
    x = 12,717.35

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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.