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Finding the Fourth Proportional to 16,878.54, 25,333.70 and 8,564.53

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Solution

The fourth proportional to 16,878.54, 25,333.70 and 8,564.53 is: 12,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,878.54 : 25,333.70 = 8,564.53 : x
  2. Step 2: Convert to fraction form
    16,878.54/25,333.70 = 8,564.53/x
  3. Step 3: Cross multiply
    16,878.54x = 25,333.70 × 8,564.53
  4. Step 4: Simplify right side
    16,878.54x = 216,971,106.99
  5. Step 5: Solve for x
    x = 216,971,106.99/16,878.54
  6. Step 6: Final answer
    x = 12,854.85

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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.