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Finding the Fourth Proportional to 20,915.08, 31,364.28 and 9,220

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Solution

The fourth proportional to 20,915.08, 31,364.28 and 9,220 is: 13,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,915.08 : 31,364.28 = 9,220 : x
  2. Step 2: Convert to fraction form
    20,915.08/31,364.28 = 9,220/x
  3. Step 3: Cross multiply
    20,915.08x = 31,364.28 × 9,220
  4. Step 4: Simplify right side
    20,915.08x = 289,178,661.60
  5. Step 5: Solve for x
    x = 289,178,661.60/20,915.08
  6. Step 6: Final answer
    x = 13,826.32

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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.