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Finding the Fourth Proportional to 14,203.91, 19,600.50 and 7,830.17

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Solution

The fourth proportional to 14,203.91, 19,600.50 and 7,830.17 is: 10,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.91 : 19,600.50 = 7,830.17 : x
  2. Step 2: Convert to fraction form
    14,203.91/19,600.50 = 7,830.17/x
  3. Step 3: Cross multiply
    14,203.91x = 19,600.50 × 7,830.17
  4. Step 4: Simplify right side
    14,203.91x = 153,475,149.08
  5. Step 5: Solve for x
    x = 153,475,149.08/14,203.91
  6. Step 6: Final answer
    x = 10,805.14

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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.