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Finding the Fourth Proportional to 22,408.29, 30,924.32 and 12,337.67

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Solution

The fourth proportional to 22,408.29, 30,924.32 and 12,337.67 is: 17,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.29 : 30,924.32 = 12,337.67 : x
  2. Step 2: Convert to fraction form
    22,408.29/30,924.32 = 12,337.67/x
  3. Step 3: Cross multiply
    22,408.29x = 30,924.32 × 12,337.67
  4. Step 4: Simplify right side
    22,408.29x = 381,534,070.76
  5. Step 5: Solve for x
    x = 381,534,070.76/22,408.29
  6. Step 6: Final answer
    x = 17,026.47

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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.