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Finding the Fourth Proportional to 14,280, 21,420.27 and 3,892.02

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Solution

The fourth proportional to 14,280, 21,420.27 and 3,892.02 is: 5,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,280 : 21,420.27 = 3,892.02 : x
  2. Step 2: Convert to fraction form
    14,280/21,420.27 = 3,892.02/x
  3. Step 3: Cross multiply
    14,280x = 21,420.27 × 3,892.02
  4. Step 4: Simplify right side
    14,280x = 83,368,119.25
  5. Step 5: Solve for x
    x = 83,368,119.25/14,280
  6. Step 6: Final answer
    x = 5,838.10

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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.