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Finding the Fourth Proportional to 21,509.32, 32,248.08 and 9,033.04

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Solution

The fourth proportional to 21,509.32, 32,248.08 and 9,033.04 is: 13,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.32 : 32,248.08 = 9,033.04 : x
  2. Step 2: Convert to fraction form
    21,509.32/32,248.08 = 9,033.04/x
  3. Step 3: Cross multiply
    21,509.32x = 32,248.08 × 9,033.04
  4. Step 4: Simplify right side
    21,509.32x = 291,298,196.56
  5. Step 5: Solve for x
    x = 291,298,196.56/21,509.32
  6. Step 6: Final answer
    x = 13,542.88

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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.