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Finding the Fourth Proportional to 21,577.48, 32,366.22 and 12,337

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Solution

The fourth proportional to 21,577.48, 32,366.22 and 12,337 is: 18,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.48 : 32,366.22 = 12,337 : x
  2. Step 2: Convert to fraction form
    21,577.48/32,366.22 = 12,337/x
  3. Step 3: Cross multiply
    21,577.48x = 32,366.22 × 12,337
  4. Step 4: Simplify right side
    21,577.48x = 399,302,056.14
  5. Step 5: Solve for x
    x = 399,302,056.14/21,577.48
  6. Step 6: Final answer
    x = 18,505.50

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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.