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Finding the Fourth Proportional to 21,476.53, 32,207.07 and 7,432.75

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Solution

The fourth proportional to 21,476.53, 32,207.07 and 7,432.75 is: 11,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,476.53 : 32,207.07 = 7,432.75 : x
  2. Step 2: Convert to fraction form
    21,476.53/32,207.07 = 7,432.75/x
  3. Step 3: Cross multiply
    21,476.53x = 32,207.07 × 7,432.75
  4. Step 4: Simplify right side
    21,476.53x = 239,386,938.51
  5. Step 5: Solve for x
    x = 239,386,938.51/21,476.53
  6. Step 6: Final answer
    x = 11,146.44

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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.