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Finding the Fourth Proportional to 17,461.52, 24,105.02 and 10,289.17

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Solution

The fourth proportional to 17,461.52, 24,105.02 and 10,289.17 is: 14,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.52 : 24,105.02 = 10,289.17 : x
  2. Step 2: Convert to fraction form
    17,461.52/24,105.02 = 10,289.17/x
  3. Step 3: Cross multiply
    17,461.52x = 24,105.02 × 10,289.17
  4. Step 4: Simplify right side
    17,461.52x = 248,020,536.93
  5. Step 5: Solve for x
    x = 248,020,536.93/17,461.52
  6. Step 6: Final answer
    x = 14,203.84

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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.