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Finding the Fourth Proportional to 16,164.16, 22,301.94 and 9,701.17

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Solution

The fourth proportional to 16,164.16, 22,301.94 and 9,701.17 is: 13,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.16 : 22,301.94 = 9,701.17 : x
  2. Step 2: Convert to fraction form
    16,164.16/22,301.94 = 9,701.17/x
  3. Step 3: Cross multiply
    16,164.16x = 22,301.94 × 9,701.17
  4. Step 4: Simplify right side
    16,164.16x = 216,354,911.27
  5. Step 5: Solve for x
    x = 216,354,911.27/16,164.16
  6. Step 6: Final answer
    x = 13,384.85

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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.