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Finding the Fourth Proportional to 15,176.64, 20,937.66 and 9,206.14

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Solution

The fourth proportional to 15,176.64, 20,937.66 and 9,206.14 is: 12,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,176.64 : 20,937.66 = 9,206.14 : x
  2. Step 2: Convert to fraction form
    15,176.64/20,937.66 = 9,206.14/x
  3. Step 3: Cross multiply
    15,176.64x = 20,937.66 × 9,206.14
  4. Step 4: Simplify right side
    15,176.64x = 192,755,029.23
  5. Step 5: Solve for x
    x = 192,755,029.23/15,176.64
  6. Step 6: Final answer
    x = 12,700.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.