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Finding the Fourth Proportional to 16,064.94, 22,158.18 and 9,777.72

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Solution

The fourth proportional to 16,064.94, 22,158.18 and 9,777.72 is: 13,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.94 : 22,158.18 = 9,777.72 : x
  2. Step 2: Convert to fraction form
    16,064.94/22,158.18 = 9,777.72/x
  3. Step 3: Cross multiply
    16,064.94x = 22,158.18 × 9,777.72
  4. Step 4: Simplify right side
    16,064.94x = 216,656,479.75
  5. Step 5: Solve for x
    x = 216,656,479.75/16,064.94
  6. Step 6: Final answer
    x = 13,486.29

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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.