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Finding the Fourth Proportional to 17,784.46, 24,541.34 and 9,826.62

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Solution

The fourth proportional to 17,784.46, 24,541.34 and 9,826.62 is: 13,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.46 : 24,541.34 = 9,826.62 : x
  2. Step 2: Convert to fraction form
    17,784.46/24,541.34 = 9,826.62/x
  3. Step 3: Cross multiply
    17,784.46x = 24,541.34 × 9,826.62
  4. Step 4: Simplify right side
    17,784.46x = 241,158,422.47
  5. Step 5: Solve for x
    x = 241,158,422.47/17,784.46
  6. Step 6: Final answer
    x = 13,560.06

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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.