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Finding the Fourth Proportional to 16,142, 22,277.18 and 9,855.59

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Solution

The fourth proportional to 16,142, 22,277.18 and 9,855.59 is: 13,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142 : 22,277.18 = 9,855.59 : x
  2. Step 2: Convert to fraction form
    16,142/22,277.18 = 9,855.59/x
  3. Step 3: Cross multiply
    16,142x = 22,277.18 × 9,855.59
  4. Step 4: Simplify right side
    16,142x = 219,554,703.16
  5. Step 5: Solve for x
    x = 219,554,703.16/16,142
  6. Step 6: Final answer
    x = 13,601.46

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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.