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Finding the Fourth Proportional to 14,143.50, 21,215.25 and 4,909.50

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Solution

The fourth proportional to 14,143.50, 21,215.25 and 4,909.50 is: 7,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.50 : 21,215.25 = 4,909.50 : x
  2. Step 2: Convert to fraction form
    14,143.50/21,215.25 = 4,909.50/x
  3. Step 3: Cross multiply
    14,143.50x = 21,215.25 × 4,909.50
  4. Step 4: Simplify right side
    14,143.50x = 104,156,269.88
  5. Step 5: Solve for x
    x = 104,156,269.88/14,143.50
  6. Step 6: Final answer
    x = 7,364.25

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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.