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Finding the Fourth Proportional to 14,058.32, 19,399.76 and 7,769.48

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Solution

The fourth proportional to 14,058.32, 19,399.76 and 7,769.48 is: 10,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,058.32 : 19,399.76 = 7,769.48 : x
  2. Step 2: Convert to fraction form
    14,058.32/19,399.76 = 7,769.48/x
  3. Step 3: Cross multiply
    14,058.32x = 19,399.76 × 7,769.48
  4. Step 4: Simplify right side
    14,058.32x = 150,726,047.32
  5. Step 5: Solve for x
    x = 150,726,047.32/14,058.32
  6. Step 6: Final answer
    x = 10,721.48

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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.