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Finding the Fourth Proportional to 21,915.84, 32,878.62 and 6,332.28

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Solution

The fourth proportional to 21,915.84, 32,878.62 and 6,332.28 is: 9,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,915.84 : 32,878.62 = 6,332.28 : x
  2. Step 2: Convert to fraction form
    21,915.84/32,878.62 = 6,332.28/x
  3. Step 3: Cross multiply
    21,915.84x = 32,878.62 × 6,332.28
  4. Step 4: Simplify right side
    21,915.84x = 208,196,627.85
  5. Step 5: Solve for x
    x = 208,196,627.85/21,915.84
  6. Step 6: Final answer
    x = 9,499.82

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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.