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Finding the Fourth Proportional to 23,643.20, 35,464.80 and 14,916.80

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Solution

The fourth proportional to 23,643.20, 35,464.80 and 14,916.80 is: 22,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.20 : 35,464.80 = 14,916.80 : x
  2. Step 2: Convert to fraction form
    23,643.20/35,464.80 = 14,916.80/x
  3. Step 3: Cross multiply
    23,643.20x = 35,464.80 × 14,916.80
  4. Step 4: Simplify right side
    23,643.20x = 529,021,328.64
  5. Step 5: Solve for x
    x = 529,021,328.64/23,643.20
  6. Step 6: Final answer
    x = 22,375.20

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1.5x scale

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.