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Finding the Fourth Proportional to 16,776.78, 23,145.40 and 9,602.86

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Solution

The fourth proportional to 16,776.78, 23,145.40 and 9,602.86 is: 13,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,776.78 : 23,145.40 = 9,602.86 : x
  2. Step 2: Convert to fraction form
    16,776.78/23,145.40 = 9,602.86/x
  3. Step 3: Cross multiply
    16,776.78x = 23,145.40 × 9,602.86
  4. Step 4: Simplify right side
    16,776.78x = 222,262,035.84
  5. Step 5: Solve for x
    x = 222,262,035.84/16,776.78
  6. Step 6: Final answer
    x = 13,248.19

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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.