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Finding the Fourth Proportional to 16,845.64, 23,248.98 and 9,678.12

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Solution

The fourth proportional to 16,845.64, 23,248.98 and 9,678.12 is: 13,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,845.64 : 23,248.98 = 9,678.12 : x
  2. Step 2: Convert to fraction form
    16,845.64/23,248.98 = 9,678.12/x
  3. Step 3: Cross multiply
    16,845.64x = 23,248.98 × 9,678.12
  4. Step 4: Simplify right side
    16,845.64x = 225,006,418.32
  5. Step 5: Solve for x
    x = 225,006,418.32/16,845.64
  6. Step 6: Final answer
    x = 13,356.95

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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.