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Finding the Fourth Proportional to 14,033.62, 21,050.52 and 9,637.74

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Solution

The fourth proportional to 14,033.62, 21,050.52 and 9,637.74 is: 14,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.62 : 21,050.52 = 9,637.74 : x
  2. Step 2: Convert to fraction form
    14,033.62/21,050.52 = 9,637.74/x
  3. Step 3: Cross multiply
    14,033.62x = 21,050.52 × 9,637.74
  4. Step 4: Simplify right side
    14,033.62x = 202,879,438.62
  5. Step 5: Solve for x
    x = 202,879,438.62/14,033.62
  6. Step 6: Final answer
    x = 14,456.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.