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Finding the Fourth Proportional to 25,084.86, 37,633.08 and 8,444.46

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Solution

The fourth proportional to 25,084.86, 37,633.08 and 8,444.46 is: 12,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,084.86 : 37,633.08 = 8,444.46 : x
  2. Step 2: Convert to fraction form
    25,084.86/37,633.08 = 8,444.46/x
  3. Step 3: Cross multiply
    25,084.86x = 37,633.08 × 8,444.46
  4. Step 4: Simplify right side
    25,084.86x = 317,791,038.74
  5. Step 5: Solve for x
    x = 317,791,038.74/25,084.86
  6. Step 6: Final answer
    x = 12,668.64

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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.