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Finding the Fourth Proportional to 22,657.34, 31,263.54 and 13,093.67

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Solution

The fourth proportional to 22,657.34, 31,263.54 and 13,093.67 is: 18,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.34 : 31,263.54 = 13,093.67 : x
  2. Step 2: Convert to fraction form
    22,657.34/31,263.54 = 13,093.67/x
  3. Step 3: Cross multiply
    22,657.34x = 31,263.54 × 13,093.67
  4. Step 4: Simplify right side
    22,657.34x = 409,354,319.47
  5. Step 5: Solve for x
    x = 409,354,319.47/22,657.34
  6. Step 6: Final answer
    x = 18,067.19

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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.