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Finding the Fourth Proportional to 14,750.32, 22,135.20 and 7,829.68

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Solution

The fourth proportional to 14,750.32, 22,135.20 and 7,829.68 is: 11,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,750.32 : 22,135.20 = 7,829.68 : x
  2. Step 2: Convert to fraction form
    14,750.32/22,135.20 = 7,829.68/x
  3. Step 3: Cross multiply
    14,750.32x = 22,135.20 × 7,829.68
  4. Step 4: Simplify right side
    14,750.32x = 173,311,532.74
  5. Step 5: Solve for x
    x = 173,311,532.74/14,750.32
  6. Step 6: Final answer
    x = 11,749.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.