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Finding the Fourth Proportional to 21,787.40, 32,681.12 and 6,205.02

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Solution

The fourth proportional to 21,787.40, 32,681.12 and 6,205.02 is: 9,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,787.40 : 32,681.12 = 6,205.02 : x
  2. Step 2: Convert to fraction form
    21,787.40/32,681.12 = 6,205.02/x
  3. Step 3: Cross multiply
    21,787.40x = 32,681.12 × 6,205.02
  4. Step 4: Simplify right side
    21,787.40x = 202,787,003.22
  5. Step 5: Solve for x
    x = 202,787,003.22/21,787.40
  6. Step 6: Final answer
    x = 9,307.54

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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.