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Finding the Fourth Proportional to 22,709.76, 31,335.98 and 14,207.78

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Solution

The fourth proportional to 22,709.76, 31,335.98 and 14,207.78 is: 19,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.76 : 31,335.98 = 14,207.78 : x
  2. Step 2: Convert to fraction form
    22,709.76/31,335.98 = 14,207.78/x
  3. Step 3: Cross multiply
    22,709.76x = 31,335.98 × 14,207.78
  4. Step 4: Simplify right side
    22,709.76x = 445,214,482.21
  5. Step 5: Solve for x
    x = 445,214,482.21/22,709.76
  6. Step 6: Final answer
    x = 19,604.54

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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.