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Finding the Fourth Proportional to 23,578.35, 32,537.19 and 12,967.35

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Solution

The fourth proportional to 23,578.35, 32,537.19 and 12,967.35 is: 17,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.35 : 32,537.19 = 12,967.35 : x
  2. Step 2: Convert to fraction form
    23,578.35/32,537.19 = 12,967.35/x
  3. Step 3: Cross multiply
    23,578.35x = 32,537.19 × 12,967.35
  4. Step 4: Simplify right side
    23,578.35x = 421,921,130.75
  5. Step 5: Solve for x
    x = 421,921,130.75/23,578.35
  6. Step 6: Final answer
    x = 17,894.43

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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.