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Finding the Fourth Proportional to 16,935.84, 23,373.84 and 9,866.16

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Solution

The fourth proportional to 16,935.84, 23,373.84 and 9,866.16 is: 13,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,935.84 : 23,373.84 = 9,866.16 : x
  2. Step 2: Convert to fraction form
    16,935.84/23,373.84 = 9,866.16/x
  3. Step 3: Cross multiply
    16,935.84x = 23,373.84 × 9,866.16
  4. Step 4: Simplify right side
    16,935.84x = 230,610,045.25
  5. Step 5: Solve for x
    x = 230,610,045.25/16,935.84
  6. Step 6: Final answer
    x = 13,616.69

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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.