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Finding the Fourth Proportional to 16,288.86, 22,477.39 and 9,215.74

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Solution

The fourth proportional to 16,288.86, 22,477.39 and 9,215.74 is: 12,717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.86 : 22,477.39 = 9,215.74 : x
  2. Step 2: Convert to fraction form
    16,288.86/22,477.39 = 9,215.74/x
  3. Step 3: Cross multiply
    16,288.86x = 22,477.39 × 9,215.74
  4. Step 4: Simplify right side
    16,288.86x = 207,145,702.89
  5. Step 5: Solve for x
    x = 207,145,702.89/16,288.86
  6. Step 6: Final answer
    x = 12,717.02

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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.