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Finding the Fourth Proportional to 17,875.74, 24,669.93 and 9,919.51

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Solution

The fourth proportional to 17,875.74, 24,669.93 and 9,919.51 is: 13,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.74 : 24,669.93 = 9,919.51 : x
  2. Step 2: Convert to fraction form
    17,875.74/24,669.93 = 9,919.51/x
  3. Step 3: Cross multiply
    17,875.74x = 24,669.93 × 9,919.51
  4. Step 4: Simplify right side
    17,875.74x = 244,713,617.33
  5. Step 5: Solve for x
    x = 244,713,617.33/17,875.74
  6. Step 6: Final answer
    x = 13,689.71

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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.