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Finding the Fourth Proportional to 17,291.10, 23,860.80 and 10,214.94

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Solution

The fourth proportional to 17,291.10, 23,860.80 and 10,214.94 is: 14,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,291.10 : 23,860.80 = 10,214.94 : x
  2. Step 2: Convert to fraction form
    17,291.10/23,860.80 = 10,214.94/x
  3. Step 3: Cross multiply
    17,291.10x = 23,860.80 × 10,214.94
  4. Step 4: Simplify right side
    17,291.10x = 243,736,640.35
  5. Step 5: Solve for x
    x = 243,736,640.35/17,291.10
  6. Step 6: Final answer
    x = 14,096.07

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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.