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Finding the Fourth Proportional to 21,364.88, 32,051.02 and 9,522.86

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Solution

The fourth proportional to 21,364.88, 32,051.02 and 9,522.86 is: 14,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.88 : 32,051.02 = 9,522.86 : x
  2. Step 2: Convert to fraction form
    21,364.88/32,051.02 = 9,522.86/x
  3. Step 3: Cross multiply
    21,364.88x = 32,051.02 × 9,522.86
  4. Step 4: Simplify right side
    21,364.88x = 305,217,376.32
  5. Step 5: Solve for x
    x = 305,217,376.32/21,364.88
  6. Step 6: Final answer
    x = 14,285.94

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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.