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Finding the Fourth Proportional to 17,705.86, 24,434.75 and 10,153.63

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Solution

The fourth proportional to 17,705.86, 24,434.75 and 10,153.63 is: 14,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.86 : 24,434.75 = 10,153.63 : x
  2. Step 2: Convert to fraction form
    17,705.86/24,434.75 = 10,153.63/x
  3. Step 3: Cross multiply
    17,705.86x = 24,434.75 × 10,153.63
  4. Step 4: Simplify right side
    17,705.86x = 248,101,410.64
  5. Step 5: Solve for x
    x = 248,101,410.64/17,705.86
  6. Step 6: Final answer
    x = 14,012.39

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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.