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Finding the Fourth Proportional to 15,533.81, 21,438.12 and 9,568.97

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Solution

The fourth proportional to 15,533.81, 21,438.12 and 9,568.97 is: 13,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.81 : 21,438.12 = 9,568.97 : x
  2. Step 2: Convert to fraction form
    15,533.81/21,438.12 = 9,568.97/x
  3. Step 3: Cross multiply
    15,533.81x = 21,438.12 × 9,568.97
  4. Step 4: Simplify right side
    15,533.81x = 205,140,727.14
  5. Step 5: Solve for x
    x = 205,140,727.14/15,533.81
  6. Step 6: Final answer
    x = 13,206.08

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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.