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Finding the Fourth Proportional to 17,806.84, 24,573.31 and 9,848.77

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Solution

The fourth proportional to 17,806.84, 24,573.31 and 9,848.77 is: 13,591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.84 : 24,573.31 = 9,848.77 : x
  2. Step 2: Convert to fraction form
    17,806.84/24,573.31 = 9,848.77/x
  3. Step 3: Cross multiply
    17,806.84x = 24,573.31 × 9,848.77
  4. Step 4: Simplify right side
    17,806.84x = 242,016,878.33
  5. Step 5: Solve for x
    x = 242,016,878.33/17,806.84
  6. Step 6: Final answer
    x = 13,591.23

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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.