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Finding the Fourth Proportional to 14,217, 21,325.50 and 4,983

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Solution

The fourth proportional to 14,217, 21,325.50 and 4,983 is: 7,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,217 : 21,325.50 = 4,983 : x
  2. Step 2: Convert to fraction form
    14,217/21,325.50 = 4,983/x
  3. Step 3: Cross multiply
    14,217x = 21,325.50 × 4,983
  4. Step 4: Simplify right side
    14,217x = 106,264,966.50
  5. Step 5: Solve for x
    x = 106,264,966.50/14,217
  6. Step 6: Final answer
    x = 7,474.50

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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.