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Finding the Fourth Proportional to 16,351.02, 22,565.94 and 9,638.74

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Solution

The fourth proportional to 16,351.02, 22,565.94 and 9,638.74 is: 13,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,351.02 : 22,565.94 = 9,638.74 : x
  2. Step 2: Convert to fraction form
    16,351.02/22,565.94 = 9,638.74/x
  3. Step 3: Cross multiply
    16,351.02x = 22,565.94 × 9,638.74
  4. Step 4: Simplify right side
    16,351.02x = 217,507,228.52
  5. Step 5: Solve for x
    x = 217,507,228.52/16,351.02
  6. Step 6: Final answer
    x = 13,302.36

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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.