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Finding the Fourth Proportional to 17,142.59, 23,656.02 and 10,775.72

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Solution

The fourth proportional to 17,142.59, 23,656.02 and 10,775.72 is: 14,870.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.59 : 23,656.02 = 10,775.72 : x
  2. Step 2: Convert to fraction form
    17,142.59/23,656.02 = 10,775.72/x
  3. Step 3: Cross multiply
    17,142.59x = 23,656.02 × 10,775.72
  4. Step 4: Simplify right side
    17,142.59x = 254,910,529.55
  5. Step 5: Solve for x
    x = 254,910,529.55/17,142.59
  6. Step 6: Final answer
    x = 14,870.02

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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.