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Finding the Fourth Proportional to 17,056.50, 23,538 and 9,887.79

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Solution

The fourth proportional to 17,056.50, 23,538 and 9,887.79 is: 13,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,056.50 : 23,538 = 9,887.79 : x
  2. Step 2: Convert to fraction form
    17,056.50/23,538 = 9,887.79/x
  3. Step 3: Cross multiply
    17,056.50x = 23,538 × 9,887.79
  4. Step 4: Simplify right side
    17,056.50x = 232,738,801.02
  5. Step 5: Solve for x
    x = 232,738,801.02/17,056.50
  6. Step 6: Final answer
    x = 13,645.17

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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.