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Finding the Fourth Proportional to 16,176.84, 24,265.20 and 10,259.64

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Solution

The fourth proportional to 16,176.84, 24,265.20 and 10,259.64 is: 15,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.84 : 24,265.20 = 10,259.64 : x
  2. Step 2: Convert to fraction form
    16,176.84/24,265.20 = 10,259.64/x
  3. Step 3: Cross multiply
    16,176.84x = 24,265.20 × 10,259.64
  4. Step 4: Simplify right side
    16,176.84x = 248,952,216.53
  5. Step 5: Solve for x
    x = 248,952,216.53/16,176.84
  6. Step 6: Final answer
    x = 15,389.42

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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.