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Finding the Fourth Proportional to 17,646.88, 24,347.94 and 10,091.65

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Solution

The fourth proportional to 17,646.88, 24,347.94 and 10,091.65 is: 13,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.88 : 24,347.94 = 10,091.65 : x
  2. Step 2: Convert to fraction form
    17,646.88/24,347.94 = 10,091.65/x
  3. Step 3: Cross multiply
    17,646.88x = 24,347.94 × 10,091.65
  4. Step 4: Simplify right side
    17,646.88x = 245,710,838.24
  5. Step 5: Solve for x
    x = 245,710,838.24/17,646.88
  6. Step 6: Final answer
    x = 13,923.76

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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.