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Finding the Fourth Proportional to 13,798.98, 19,042.71 and 7,830.66

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Solution

The fourth proportional to 13,798.98, 19,042.71 and 7,830.66 is: 10,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.98 : 19,042.71 = 7,830.66 : x
  2. Step 2: Convert to fraction form
    13,798.98/19,042.71 = 7,830.66/x
  3. Step 3: Cross multiply
    13,798.98x = 19,042.71 × 7,830.66
  4. Step 4: Simplify right side
    13,798.98x = 149,116,987.49
  5. Step 5: Solve for x
    x = 149,116,987.49/13,798.98
  6. Step 6: Final answer
    x = 10,806.38

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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.