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Finding the Fourth Proportional to 14,967.40, 22,433.10 and 6,197.80

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Solution

The fourth proportional to 14,967.40, 22,433.10 and 6,197.80 is: 9,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.40 : 22,433.10 = 6,197.80 : x
  2. Step 2: Convert to fraction form
    14,967.40/22,433.10 = 6,197.80/x
  3. Step 3: Cross multiply
    14,967.40x = 22,433.10 × 6,197.80
  4. Step 4: Simplify right side
    14,967.40x = 139,035,867.18
  5. Step 5: Solve for x
    x = 139,035,867.18/14,967.40
  6. Step 6: Final answer
    x = 9,289.25

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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.