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Finding the Fourth Proportional to 14,203.17, 19,600.50 and 7,830

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Solution

The fourth proportional to 14,203.17, 19,600.50 and 7,830 is: 10,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.17 : 19,600.50 = 7,830 : x
  2. Step 2: Convert to fraction form
    14,203.17/19,600.50 = 7,830/x
  3. Step 3: Cross multiply
    14,203.17x = 19,600.50 × 7,830
  4. Step 4: Simplify right side
    14,203.17x = 153,471,915
  5. Step 5: Solve for x
    x = 153,471,915/14,203.17
  6. Step 6: Final answer
    x = 10,805.47

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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.