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Finding the Fourth Proportional to 15,513.50, 21,399.93 and 9,544

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Solution

The fourth proportional to 15,513.50, 21,399.93 and 9,544 is: 13,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513.50 : 21,399.93 = 9,544 : x
  2. Step 2: Convert to fraction form
    15,513.50/21,399.93 = 9,544/x
  3. Step 3: Cross multiply
    15,513.50x = 21,399.93 × 9,544
  4. Step 4: Simplify right side
    15,513.50x = 204,240,931.92
  5. Step 5: Solve for x
    x = 204,240,931.92/15,513.50
  6. Step 6: Final answer
    x = 13,165.37

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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.