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Finding the Fourth Proportional to 21,915.32, 32,874.80 and 9,435.65

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Solution

The fourth proportional to 21,915.32, 32,874.80 and 9,435.65 is: 14,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,915.32 : 32,874.80 = 9,435.65 : x
  2. Step 2: Convert to fraction form
    21,915.32/32,874.80 = 9,435.65/x
  3. Step 3: Cross multiply
    21,915.32x = 32,874.80 × 9,435.65
  4. Step 4: Simplify right side
    21,915.32x = 310,194,895.07
  5. Step 5: Solve for x
    x = 310,194,895.07/21,915.32
  6. Step 6: Final answer
    x = 14,154.25

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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.