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Finding the Fourth Proportional to 17,617, 24,312.54 and 10,165

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Solution

The fourth proportional to 17,617, 24,312.54 and 10,165 is: 14,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617 : 24,312.54 = 10,165 : x
  2. Step 2: Convert to fraction form
    17,617/24,312.54 = 10,165/x
  3. Step 3: Cross multiply
    17,617x = 24,312.54 × 10,165
  4. Step 4: Simplify right side
    17,617x = 247,136,969.10
  5. Step 5: Solve for x
    x = 247,136,969.10/17,617
  6. Step 6: Final answer
    x = 14,028.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.