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Finding the Fourth Proportional to 16,854.84, 25,263.42 and 6,314.72

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Solution

The fourth proportional to 16,854.84, 25,263.42 and 6,314.72 is: 9,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.84 : 25,263.42 = 6,314.72 : x
  2. Step 2: Convert to fraction form
    16,854.84/25,263.42 = 6,314.72/x
  3. Step 3: Cross multiply
    16,854.84x = 25,263.42 × 6,314.72
  4. Step 4: Simplify right side
    16,854.84x = 159,531,423.54
  5. Step 5: Solve for x
    x = 159,531,423.54/16,854.84
  6. Step 6: Final answer
    x = 9,465.02

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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.