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Finding the Fourth Proportional to 16,422.55, 22,663.68 and 9,713.94

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Solution

The fourth proportional to 16,422.55, 22,663.68 and 9,713.94 is: 13,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.55 : 22,663.68 = 9,713.94 : x
  2. Step 2: Convert to fraction form
    16,422.55/22,663.68 = 9,713.94/x
  3. Step 3: Cross multiply
    16,422.55x = 22,663.68 × 9,713.94
  4. Step 4: Simplify right side
    16,422.55x = 220,153,627.70
  5. Step 5: Solve for x
    x = 220,153,627.70/16,422.55
  6. Step 6: Final answer
    x = 13,405.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.