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Finding the Fourth Proportional to 19,605.70, 27,061.38 and 16,077.34

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Solution

The fourth proportional to 19,605.70, 27,061.38 and 16,077.34 is: 22,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605.70 : 27,061.38 = 16,077.34 : x
  2. Step 2: Convert to fraction form
    19,605.70/27,061.38 = 16,077.34/x
  3. Step 3: Cross multiply
    19,605.70x = 27,061.38 × 16,077.34
  4. Step 4: Simplify right side
    19,605.70x = 435,075,007.13
  5. Step 5: Solve for x
    x = 435,075,007.13/19,605.70
  6. Step 6: Final answer
    x = 22,191.25

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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.