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Finding the Fourth Proportional to 17,767.69, 24,518.95 and 11,710.51

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Solution

The fourth proportional to 17,767.69, 24,518.95 and 11,710.51 is: 16,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.69 : 24,518.95 = 11,710.51 : x
  2. Step 2: Convert to fraction form
    17,767.69/24,518.95 = 11,710.51/x
  3. Step 3: Cross multiply
    17,767.69x = 24,518.95 × 11,710.51
  4. Step 4: Simplify right side
    17,767.69x = 287,129,409.16
  5. Step 5: Solve for x
    x = 287,129,409.16/17,767.69
  6. Step 6: Final answer
    x = 16,160.20

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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.