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Finding the Fourth Proportional to 16,289.16, 22,478.64 and 9,215.52

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Solution

The fourth proportional to 16,289.16, 22,478.64 and 9,215.52 is: 12,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.16 : 22,478.64 = 9,215.52 : x
  2. Step 2: Convert to fraction form
    16,289.16/22,478.64 = 9,215.52/x
  3. Step 3: Cross multiply
    16,289.16x = 22,478.64 × 9,215.52
  4. Step 4: Simplify right side
    16,289.16x = 207,152,356.49
  5. Step 5: Solve for x
    x = 207,152,356.49/16,289.16
  6. Step 6: Final answer
    x = 12,717.19

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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.