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Finding the Fourth Proportional to 16,180.16, 22,328.06 and 9,807.48

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Solution

The fourth proportional to 16,180.16, 22,328.06 and 9,807.48 is: 13,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.16 : 22,328.06 = 9,807.48 : x
  2. Step 2: Convert to fraction form
    16,180.16/22,328.06 = 9,807.48/x
  3. Step 3: Cross multiply
    16,180.16x = 22,328.06 × 9,807.48
  4. Step 4: Simplify right side
    16,180.16x = 218,981,952.85
  5. Step 5: Solve for x
    x = 218,981,952.85/16,180.16
  6. Step 6: Final answer
    x = 13,533.98

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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.