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Finding the Fourth Proportional to 17,871.72, 24,665.93 and 9,916.51

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Solution

The fourth proportional to 17,871.72, 24,665.93 and 9,916.51 is: 13,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.72 : 24,665.93 = 9,916.51 : x
  2. Step 2: Convert to fraction form
    17,871.72/24,665.93 = 9,916.51/x
  3. Step 3: Cross multiply
    17,871.72x = 24,665.93 × 9,916.51
  4. Step 4: Simplify right side
    17,871.72x = 244,599,904.63
  5. Step 5: Solve for x
    x = 244,599,904.63/17,871.72
  6. Step 6: Final answer
    x = 13,686.42

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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.