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Finding the Fourth Proportional to 13,058.44, 19,614.18 and 11,533

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Solution

The fourth proportional to 13,058.44, 19,614.18 and 11,533 is: 17,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.44 : 19,614.18 = 11,533 : x
  2. Step 2: Convert to fraction form
    13,058.44/19,614.18 = 11,533/x
  3. Step 3: Cross multiply
    13,058.44x = 19,614.18 × 11,533
  4. Step 4: Simplify right side
    13,058.44x = 226,210,337.94
  5. Step 5: Solve for x
    x = 226,210,337.94/13,058.44
  6. Step 6: Final answer
    x = 17,322.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.