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Finding the Fourth Proportional to 17,059.84, 23,542.34 and 9,506.49

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Solution

The fourth proportional to 17,059.84, 23,542.34 and 9,506.49 is: 13,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,059.84 : 23,542.34 = 9,506.49 : x
  2. Step 2: Convert to fraction form
    17,059.84/23,542.34 = 9,506.49/x
  3. Step 3: Cross multiply
    17,059.84x = 23,542.34 × 9,506.49
  4. Step 4: Simplify right side
    17,059.84x = 223,804,925.28
  5. Step 5: Solve for x
    x = 223,804,925.28/17,059.84
  6. Step 6: Final answer
    x = 13,118.82

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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.