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Finding the Fourth Proportional to 17,314.64, 23,894.30 and 10,148.78

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Solution

The fourth proportional to 17,314.64, 23,894.30 and 10,148.78 is: 14,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.64 : 23,894.30 = 10,148.78 : x
  2. Step 2: Convert to fraction form
    17,314.64/23,894.30 = 10,148.78/x
  3. Step 3: Cross multiply
    17,314.64x = 23,894.30 × 10,148.78
  4. Step 4: Simplify right side
    17,314.64x = 242,497,943.21
  5. Step 5: Solve for x
    x = 242,497,943.21/17,314.64
  6. Step 6: Final answer
    x = 14,005.37

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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.