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Finding the Fourth Proportional to 23,367.69, 32,248.09 and 12,758.01

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Solution

The fourth proportional to 23,367.69, 32,248.09 and 12,758.01 is: 17,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,367.69 : 32,248.09 = 12,758.01 : x
  2. Step 2: Convert to fraction form
    23,367.69/32,248.09 = 12,758.01/x
  3. Step 3: Cross multiply
    23,367.69x = 32,248.09 × 12,758.01
  4. Step 4: Simplify right side
    23,367.69x = 411,421,261.57
  5. Step 5: Solve for x
    x = 411,421,261.57/23,367.69
  6. Step 6: Final answer
    x = 17,606.42

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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.