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Finding the Fourth Proportional to 12,798.47, 17,670.59 and 8,020.38

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Solution

The fourth proportional to 12,798.47, 17,670.59 and 8,020.38 is: 11,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.47 : 17,670.59 = 8,020.38 : x
  2. Step 2: Convert to fraction form
    12,798.47/17,670.59 = 8,020.38/x
  3. Step 3: Cross multiply
    12,798.47x = 17,670.59 × 8,020.38
  4. Step 4: Simplify right side
    12,798.47x = 141,724,806.52
  5. Step 5: Solve for x
    x = 141,724,806.52/12,798.47
  6. Step 6: Final answer
    x = 11,073.58

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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.