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Finding the Fourth Proportional to 13,810.69, 19,058.66 and 7,523.07

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Solution

The fourth proportional to 13,810.69, 19,058.66 and 7,523.07 is: 10,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.69 : 19,058.66 = 7,523.07 : x
  2. Step 2: Convert to fraction form
    13,810.69/19,058.66 = 7,523.07/x
  3. Step 3: Cross multiply
    13,810.69x = 19,058.66 × 7,523.07
  4. Step 4: Simplify right side
    13,810.69x = 143,379,500.38
  5. Step 5: Solve for x
    x = 143,379,500.38/13,810.69
  6. Step 6: Final answer
    x = 10,381.78

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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.