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Finding the Fourth Proportional to 16,145.16, 24,223.95 and 6,291.42

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Solution

The fourth proportional to 16,145.16, 24,223.95 and 6,291.42 is: 9,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.16 : 24,223.95 = 6,291.42 : x
  2. Step 2: Convert to fraction form
    16,145.16/24,223.95 = 6,291.42/x
  3. Step 3: Cross multiply
    16,145.16x = 24,223.95 × 6,291.42
  4. Step 4: Simplify right side
    16,145.16x = 152,403,043.51
  5. Step 5: Solve for x
    x = 152,403,043.51/16,145.16
  6. Step 6: Final answer
    x = 9,439.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.