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Finding the Fourth Proportional to 23,709.22, 32,715.93 and 13,098.22

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Solution

The fourth proportional to 23,709.22, 32,715.93 and 13,098.22 is: 18,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.22 : 32,715.93 = 13,098.22 : x
  2. Step 2: Convert to fraction form
    23,709.22/32,715.93 = 13,098.22/x
  3. Step 3: Cross multiply
    23,709.22x = 32,715.93 × 13,098.22
  4. Step 4: Simplify right side
    23,709.22x = 428,520,415.97
  5. Step 5: Solve for x
    x = 428,520,415.97/23,709.22
  6. Step 6: Final answer
    x = 18,074.00

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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.