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Finding the Fourth Proportional to 16,470, 22,728.60 and 9,018

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Solution

The fourth proportional to 16,470, 22,728.60 and 9,018 is: 12,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470 : 22,728.60 = 9,018 : x
  2. Step 2: Convert to fraction form
    16,470/22,728.60 = 9,018/x
  3. Step 3: Cross multiply
    16,470x = 22,728.60 × 9,018
  4. Step 4: Simplify right side
    16,470x = 204,966,514.80
  5. Step 5: Solve for x
    x = 204,966,514.80/16,470
  6. Step 6: Final answer
    x = 12,444.84

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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.