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Finding the Fourth Proportional to 14,393.16, 19,862.82 and 9,669.24

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Solution

The fourth proportional to 14,393.16, 19,862.82 and 9,669.24 is: 13,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393.16 : 19,862.82 = 9,669.24 : x
  2. Step 2: Convert to fraction form
    14,393.16/19,862.82 = 9,669.24/x
  3. Step 3: Cross multiply
    14,393.16x = 19,862.82 × 9,669.24
  4. Step 4: Simplify right side
    14,393.16x = 192,058,373.66
  5. Step 5: Solve for x
    x = 192,058,373.66/14,393.16
  6. Step 6: Final answer
    x = 13,343.73

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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.