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Finding the Fourth Proportional to 16,681.32, 23,017.02 and 9,511.10

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Solution

The fourth proportional to 16,681.32, 23,017.02 and 9,511.10 is: 13,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,681.32 : 23,017.02 = 9,511.10 : x
  2. Step 2: Convert to fraction form
    16,681.32/23,017.02 = 9,511.10/x
  3. Step 3: Cross multiply
    16,681.32x = 23,017.02 × 9,511.10
  4. Step 4: Simplify right side
    16,681.32x = 218,917,178.92
  5. Step 5: Solve for x
    x = 218,917,178.92/16,681.32
  6. Step 6: Final answer
    x = 13,123.49

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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.