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Finding the Fourth Proportional to 17,826.18, 24,599.40 and 9,867.93

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Solution

The fourth proportional to 17,826.18, 24,599.40 and 9,867.93 is: 13,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.18 : 24,599.40 = 9,867.93 : x
  2. Step 2: Convert to fraction form
    17,826.18/24,599.40 = 9,867.93/x
  3. Step 3: Cross multiply
    17,826.18x = 24,599.40 × 9,867.93
  4. Step 4: Simplify right side
    17,826.18x = 242,745,027.99
  5. Step 5: Solve for x
    x = 242,745,027.99/17,826.18
  6. Step 6: Final answer
    x = 13,617.34

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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.