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Finding the Fourth Proportional to 14,313.90, 21,463.92 and 6,418.74

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Solution

The fourth proportional to 14,313.90, 21,463.92 and 6,418.74 is: 9,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.90 : 21,463.92 = 6,418.74 : x
  2. Step 2: Convert to fraction form
    14,313.90/21,463.92 = 6,418.74/x
  3. Step 3: Cross multiply
    14,313.90x = 21,463.92 × 6,418.74
  4. Step 4: Simplify right side
    14,313.90x = 137,771,321.86
  5. Step 5: Solve for x
    x = 137,771,321.86/14,313.90
  6. Step 6: Final answer
    x = 9,625.00

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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.