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Finding the Fourth Proportional to 16,128.27, 22,253.10 and 9,410.06

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Solution

The fourth proportional to 16,128.27, 22,253.10 and 9,410.06 is: 12,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128.27 : 22,253.10 = 9,410.06 : x
  2. Step 2: Convert to fraction form
    16,128.27/22,253.10 = 9,410.06/x
  3. Step 3: Cross multiply
    16,128.27x = 22,253.10 × 9,410.06
  4. Step 4: Simplify right side
    16,128.27x = 209,402,894.92
  5. Step 5: Solve for x
    x = 209,402,894.92/16,128.27
  6. Step 6: Final answer
    x = 12,983.59

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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.