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Finding the Fourth Proportional to 21,523, 32,284.50 and 6,931

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Solution

The fourth proportional to 21,523, 32,284.50 and 6,931 is: 10,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523 : 32,284.50 = 6,931 : x
  2. Step 2: Convert to fraction form
    21,523/32,284.50 = 6,931/x
  3. Step 3: Cross multiply
    21,523x = 32,284.50 × 6,931
  4. Step 4: Simplify right side
    21,523x = 223,763,869.50
  5. Step 5: Solve for x
    x = 223,763,869.50/21,523
  6. Step 6: Final answer
    x = 10,396.50

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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.