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Finding the Fourth Proportional to 16,301.64, 24,466.43 and 16,178.92

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Solution

The fourth proportional to 16,301.64, 24,466.43 and 16,178.92 is: 24,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.64 : 24,466.43 = 16,178.92 : x
  2. Step 2: Convert to fraction form
    16,301.64/24,466.43 = 16,178.92/x
  3. Step 3: Cross multiply
    16,301.64x = 24,466.43 × 16,178.92
  4. Step 4: Simplify right side
    16,301.64x = 395,840,332.76
  5. Step 5: Solve for x
    x = 395,840,332.76/16,301.64
  6. Step 6: Final answer
    x = 24,282.25

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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.