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Finding the Fourth Proportional to 14,861.12, 22,264.34 and 9,313.42

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Solution

The fourth proportional to 14,861.12, 22,264.34 and 9,313.42 is: 13,953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.12 : 22,264.34 = 9,313.42 : x
  2. Step 2: Convert to fraction form
    14,861.12/22,264.34 = 9,313.42/x
  3. Step 3: Cross multiply
    14,861.12x = 22,264.34 × 9,313.42
  4. Step 4: Simplify right side
    14,861.12x = 207,357,149.44
  5. Step 5: Solve for x
    x = 207,357,149.44/14,861.12
  6. Step 6: Final answer
    x = 13,953.00

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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.