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Finding the Fourth Proportional to 23,577.62, 32,537.24 and 12,822.62

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Solution

The fourth proportional to 23,577.62, 32,537.24 and 12,822.62 is: 17,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.62 : 32,537.24 = 12,822.62 : x
  2. Step 2: Convert to fraction form
    23,577.62/32,537.24 = 12,822.62/x
  3. Step 3: Cross multiply
    23,577.62x = 32,537.24 × 12,822.62
  4. Step 4: Simplify right side
    23,577.62x = 417,212,533.74
  5. Step 5: Solve for x
    x = 417,212,533.74/23,577.62
  6. Step 6: Final answer
    x = 17,695.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.