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Finding the Fourth Proportional to 28,360.25, 42,544.98 and 9,641.96

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Solution

The fourth proportional to 28,360.25, 42,544.98 and 9,641.96 is: 14,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,360.25 : 42,544.98 = 9,641.96 : x
  2. Step 2: Convert to fraction form
    28,360.25/42,544.98 = 9,641.96/x
  3. Step 3: Cross multiply
    28,360.25x = 42,544.98 × 9,641.96
  4. Step 4: Simplify right side
    28,360.25x = 410,216,782.64
  5. Step 5: Solve for x
    x = 410,216,782.64/28,360.25
  6. Step 6: Final answer
    x = 14,464.50

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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.