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Finding the Fourth Proportional to 15,893.60, 23,829.60 and 7,577.60

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Solution

The fourth proportional to 15,893.60, 23,829.60 and 7,577.60 is: 11,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.60 : 23,829.60 = 7,577.60 : x
  2. Step 2: Convert to fraction form
    15,893.60/23,829.60 = 7,577.60/x
  3. Step 3: Cross multiply
    15,893.60x = 23,829.60 × 7,577.60
  4. Step 4: Simplify right side
    15,893.60x = 180,571,176.96
  5. Step 5: Solve for x
    x = 180,571,176.96/15,893.60
  6. Step 6: Final answer
    x = 11,361.25

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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.