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Finding the Fourth Proportional to 22,803.34, 31,459.95 and 13,847.46

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Solution

The fourth proportional to 22,803.34, 31,459.95 and 13,847.46 is: 19,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803.34 : 31,459.95 = 13,847.46 : x
  2. Step 2: Convert to fraction form
    22,803.34/31,459.95 = 13,847.46/x
  3. Step 3: Cross multiply
    22,803.34x = 31,459.95 × 13,847.46
  4. Step 4: Simplify right side
    22,803.34x = 435,640,399.23
  5. Step 5: Solve for x
    x = 435,640,399.23/22,803.34
  6. Step 6: Final answer
    x = 19,104.24

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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.