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Finding the Fourth Proportional to 13,243.26, 19,857.98 and 4,475

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Solution

The fourth proportional to 13,243.26, 19,857.98 and 4,475 is: 6,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.26 : 19,857.98 = 4,475 : x
  2. Step 2: Convert to fraction form
    13,243.26/19,857.98 = 4,475/x
  3. Step 3: Cross multiply
    13,243.26x = 19,857.98 × 4,475
  4. Step 4: Simplify right side
    13,243.26x = 88,864,460.50
  5. Step 5: Solve for x
    x = 88,864,460.50/13,243.26
  6. Step 6: Final answer
    x = 6,710.17

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Why These Related Problems?

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