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Finding the Fourth Proportional to 16,920.90, 23,345.19 and 9,845.82

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Solution

The fourth proportional to 16,920.90, 23,345.19 and 9,845.82 is: 13,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,920.90 : 23,345.19 = 9,845.82 : x
  2. Step 2: Convert to fraction form
    16,920.90/23,345.19 = 9,845.82/x
  3. Step 3: Cross multiply
    16,920.90x = 23,345.19 × 9,845.82
  4. Step 4: Simplify right side
    16,920.90x = 229,852,538.61
  5. Step 5: Solve for x
    x = 229,852,538.61/16,920.90
  6. Step 6: Final answer
    x = 13,583.94

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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.