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Finding the Fourth Proportional to 28,643.40, 42,963.12 and 8,920.08

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Solution

The fourth proportional to 28,643.40, 42,963.12 and 8,920.08 is: 13,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,643.40 : 42,963.12 = 8,920.08 : x
  2. Step 2: Convert to fraction form
    28,643.40/42,963.12 = 8,920.08/x
  3. Step 3: Cross multiply
    28,643.40x = 42,963.12 × 8,920.08
  4. Step 4: Simplify right side
    28,643.40x = 383,234,467.45
  5. Step 5: Solve for x
    x = 383,234,467.45/28,643.40
  6. Step 6: Final answer
    x = 13,379.50

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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.