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Finding the Fourth Proportional to 15,822.25, 23,717.85 and 8,805.63

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Solution

The fourth proportional to 15,822.25, 23,717.85 and 8,805.63 is: 13,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.25 : 23,717.85 = 8,805.63 : x
  2. Step 2: Convert to fraction form
    15,822.25/23,717.85 = 8,805.63/x
  3. Step 3: Cross multiply
    15,822.25x = 23,717.85 × 8,805.63
  4. Step 4: Simplify right side
    15,822.25x = 208,850,492.91
  5. Step 5: Solve for x
    x = 208,850,492.91/15,822.25
  6. Step 6: Final answer
    x = 13,199.80

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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.