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Finding the Fourth Proportional to 16,647.76, 22,971.36 and 9,573.04

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Solution

The fourth proportional to 16,647.76, 22,971.36 and 9,573.04 is: 13,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.76 : 22,971.36 = 9,573.04 : x
  2. Step 2: Convert to fraction form
    16,647.76/22,971.36 = 9,573.04/x
  3. Step 3: Cross multiply
    16,647.76x = 22,971.36 × 9,573.04
  4. Step 4: Simplify right side
    16,647.76x = 219,905,748.13
  5. Step 5: Solve for x
    x = 219,905,748.13/16,647.76
  6. Step 6: Final answer
    x = 13,209.33

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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.