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Finding the Fourth Proportional to 25,285.84, 37,880.24 and 14,158.88

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Solution

The fourth proportional to 25,285.84, 37,880.24 and 14,158.88 is: 21,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,285.84 : 37,880.24 = 14,158.88 : x
  2. Step 2: Convert to fraction form
    25,285.84/37,880.24 = 14,158.88/x
  3. Step 3: Cross multiply
    25,285.84x = 37,880.24 × 14,158.88
  4. Step 4: Simplify right side
    25,285.84x = 536,341,772.53
  5. Step 5: Solve for x
    x = 536,341,772.53/25,285.84
  6. Step 6: Final answer
    x = 21,211.15

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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.