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Finding the Fourth Proportional to 22,435.76, 33,657.36 and 8,400.74

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Solution

The fourth proportional to 22,435.76, 33,657.36 and 8,400.74 is: 12,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,435.76 : 33,657.36 = 8,400.74 : x
  2. Step 2: Convert to fraction form
    22,435.76/33,657.36 = 8,400.74/x
  3. Step 3: Cross multiply
    22,435.76x = 33,657.36 × 8,400.74
  4. Step 4: Simplify right side
    22,435.76x = 282,746,730.45
  5. Step 5: Solve for x
    x = 282,746,730.45/22,435.76
  6. Step 6: Final answer
    x = 12,602.50

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Why These Related Problems?

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