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Finding the Fourth Proportional to 17,328.44, 23,910.54 and 9,875

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Solution

The fourth proportional to 17,328.44, 23,910.54 and 9,875 is: 13,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,328.44 : 23,910.54 = 9,875 : x
  2. Step 2: Convert to fraction form
    17,328.44/23,910.54 = 9,875/x
  3. Step 3: Cross multiply
    17,328.44x = 23,910.54 × 9,875
  4. Step 4: Simplify right side
    17,328.44x = 236,116,582.50
  5. Step 5: Solve for x
    x = 236,116,582.50/17,328.44
  6. Step 6: Final answer
    x = 13,625.96

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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.