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Finding the Fourth Proportional to 14,969.34, 22,453.74 and 6,204.24

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Solution

The fourth proportional to 14,969.34, 22,453.74 and 6,204.24 is: 9,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.34 : 22,453.74 = 6,204.24 : x
  2. Step 2: Convert to fraction form
    14,969.34/22,453.74 = 6,204.24/x
  3. Step 3: Cross multiply
    14,969.34x = 22,453.74 × 6,204.24
  4. Step 4: Simplify right side
    14,969.34x = 139,308,391.86
  5. Step 5: Solve for x
    x = 139,308,391.86/14,969.34
  6. Step 6: Final answer
    x = 9,306.25

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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.