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Finding the Fourth Proportional to 16,017.67, 22,097.50 and 9,298.45

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Solution

The fourth proportional to 16,017.67, 22,097.50 and 9,298.45 is: 12,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017.67 : 22,097.50 = 9,298.45 : x
  2. Step 2: Convert to fraction form
    16,017.67/22,097.50 = 9,298.45/x
  3. Step 3: Cross multiply
    16,017.67x = 22,097.50 × 9,298.45
  4. Step 4: Simplify right side
    16,017.67x = 205,472,498.88
  5. Step 5: Solve for x
    x = 205,472,498.88/16,017.67
  6. Step 6: Final answer
    x = 12,827.86

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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.