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Finding the Fourth Proportional to 21,875.15, 32,817.95 and 7,084.10

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Solution

The fourth proportional to 21,875.15, 32,817.95 and 7,084.10 is: 10,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,875.15 : 32,817.95 = 7,084.10 : x
  2. Step 2: Convert to fraction form
    21,875.15/32,817.95 = 7,084.10/x
  3. Step 3: Cross multiply
    21,875.15x = 32,817.95 × 7,084.10
  4. Step 4: Simplify right side
    21,875.15x = 232,485,604.17
  5. Step 5: Solve for x
    x = 232,485,604.17/21,875.15
  6. Step 6: Final answer
    x = 10,627.84

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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.