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Finding the Fourth Proportional to 11,826.60, 17,718.30 and 9,623.40

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Solution

The fourth proportional to 11,826.60, 17,718.30 and 9,623.40 is: 14,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.60 : 17,718.30 = 9,623.40 : x
  2. Step 2: Convert to fraction form
    11,826.60/17,718.30 = 9,623.40/x
  3. Step 3: Cross multiply
    11,826.60x = 17,718.30 × 9,623.40
  4. Step 4: Simplify right side
    11,826.60x = 170,510,288.22
  5. Step 5: Solve for x
    x = 170,510,288.22/11,826.60
  6. Step 6: Final answer
    x = 14,417.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.