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Finding the Fourth Proportional to 16,058.88, 22,165.92 and 9,782.64

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Solution

The fourth proportional to 16,058.88, 22,165.92 and 9,782.64 is: 13,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,058.88 : 22,165.92 = 9,782.64 : x
  2. Step 2: Convert to fraction form
    16,058.88/22,165.92 = 9,782.64/x
  3. Step 3: Cross multiply
    16,058.88x = 22,165.92 × 9,782.64
  4. Step 4: Simplify right side
    16,058.88x = 216,841,215.63
  5. Step 5: Solve for x
    x = 216,841,215.63/16,058.88
  6. Step 6: Final answer
    x = 13,502.89

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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.