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Finding the Fourth Proportional to 16,586.78, 22,888.24 and 9,871.32

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Solution

The fourth proportional to 16,586.78, 22,888.24 and 9,871.32 is: 13,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.78 : 22,888.24 = 9,871.32 : x
  2. Step 2: Convert to fraction form
    16,586.78/22,888.24 = 9,871.32/x
  3. Step 3: Cross multiply
    16,586.78x = 22,888.24 × 9,871.32
  4. Step 4: Simplify right side
    16,586.78x = 225,937,129.21
  5. Step 5: Solve for x
    x = 225,937,129.21/16,586.78
  6. Step 6: Final answer
    x = 13,621.52

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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.