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Finding the Fourth Proportional to 13,810.69, 19,058.96 and 7,523.06

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Solution

The fourth proportional to 13,810.69, 19,058.96 and 7,523.06 is: 10,381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.69 : 19,058.96 = 7,523.06 : x
  2. Step 2: Convert to fraction form
    13,810.69/19,058.96 = 7,523.06/x
  3. Step 3: Cross multiply
    13,810.69x = 19,058.96 × 7,523.06
  4. Step 4: Simplify right side
    13,810.69x = 143,381,662.00
  5. Step 5: Solve for x
    x = 143,381,662.00/13,810.69
  6. Step 6: Final answer
    x = 10,381.94

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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.