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Finding the Fourth Proportional to 25,206.50, 37,752.23 and 12,068.16

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Solution

The fourth proportional to 25,206.50, 37,752.23 and 12,068.16 is: 18,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206.50 : 37,752.23 = 12,068.16 : x
  2. Step 2: Convert to fraction form
    25,206.50/37,752.23 = 12,068.16/x
  3. Step 3: Cross multiply
    25,206.50x = 37,752.23 × 12,068.16
  4. Step 4: Simplify right side
    25,206.50x = 455,599,982.17
  5. Step 5: Solve for x
    x = 455,599,982.17/25,206.50
  6. Step 6: Final answer
    x = 18,074.71

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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.