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Finding the Fourth Proportional to 16,888.47, 23,308.98 and 9,819

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Solution

The fourth proportional to 16,888.47, 23,308.98 and 9,819 is: 13,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,888.47 : 23,308.98 = 9,819 : x
  2. Step 2: Convert to fraction form
    16,888.47/23,308.98 = 9,819/x
  3. Step 3: Cross multiply
    16,888.47x = 23,308.98 × 9,819
  4. Step 4: Simplify right side
    16,888.47x = 228,870,874.62
  5. Step 5: Solve for x
    x = 228,870,874.62/16,888.47
  6. Step 6: Final answer
    x = 13,551.90

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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.