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Finding the Fourth Proportional to 21,950.10, 32,915.10 and 9,464.16

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Solution

The fourth proportional to 21,950.10, 32,915.10 and 9,464.16 is: 14,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,950.10 : 32,915.10 = 9,464.16 : x
  2. Step 2: Convert to fraction form
    21,950.10/32,915.10 = 9,464.16/x
  3. Step 3: Cross multiply
    21,950.10x = 32,915.10 × 9,464.16
  4. Step 4: Simplify right side
    21,950.10x = 311,513,772.82
  5. Step 5: Solve for x
    x = 311,513,772.82/21,950.10
  6. Step 6: Final answer
    x = 14,191.91

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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.