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Finding the Fourth Proportional to 13,490.52, 18,617.38 and 7,825.12

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Solution

The fourth proportional to 13,490.52, 18,617.38 and 7,825.12 is: 10,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.52 : 18,617.38 = 7,825.12 : x
  2. Step 2: Convert to fraction form
    13,490.52/18,617.38 = 7,825.12/x
  3. Step 3: Cross multiply
    13,490.52x = 18,617.38 × 7,825.12
  4. Step 4: Simplify right side
    13,490.52x = 145,683,232.59
  5. Step 5: Solve for x
    x = 145,683,232.59/13,490.52
  6. Step 6: Final answer
    x = 10,798.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.