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Finding the Fourth Proportional to 21,905.60, 32,858.87 and 7,114.46

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Solution

The fourth proportional to 21,905.60, 32,858.87 and 7,114.46 is: 10,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.60 : 32,858.87 = 7,114.46 : x
  2. Step 2: Convert to fraction form
    21,905.60/32,858.87 = 7,114.46/x
  3. Step 3: Cross multiply
    21,905.60x = 32,858.87 × 7,114.46
  4. Step 4: Simplify right side
    21,905.60x = 233,772,916.39
  5. Step 5: Solve for x
    x = 233,772,916.39/21,905.60
  6. Step 6: Final answer
    x = 10,671.84

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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.