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Finding the Fourth Proportional to 17,365, 23,964.18 and 10,646.76

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Solution

The fourth proportional to 17,365, 23,964.18 and 10,646.76 is: 14,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,365 : 23,964.18 = 10,646.76 : x
  2. Step 2: Convert to fraction form
    17,365/23,964.18 = 10,646.76/x
  3. Step 3: Cross multiply
    17,365x = 23,964.18 × 10,646.76
  4. Step 4: Simplify right side
    17,365x = 255,140,873.06
  5. Step 5: Solve for x
    x = 255,140,873.06/17,365
  6. Step 6: Final answer
    x = 14,692.82

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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.