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Finding the Fourth Proportional to 25,632.84, 38,446.08 and 6,914.40

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Solution

The fourth proportional to 25,632.84, 38,446.08 and 6,914.40 is: 10,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,632.84 : 38,446.08 = 6,914.40 : x
  2. Step 2: Convert to fraction form
    25,632.84/38,446.08 = 6,914.40/x
  3. Step 3: Cross multiply
    25,632.84x = 38,446.08 × 6,914.40
  4. Step 4: Simplify right side
    25,632.84x = 265,831,575.55
  5. Step 5: Solve for x
    x = 265,831,575.55/25,632.84
  6. Step 6: Final answer
    x = 10,370.74

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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.