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Finding the Fourth Proportional to 15,176.22, 20,942.65 and 9,514.01

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Solution

The fourth proportional to 15,176.22, 20,942.65 and 9,514.01 is: 13,129.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,176.22 : 20,942.65 = 9,514.01 : x
  2. Step 2: Convert to fraction form
    15,176.22/20,942.65 = 9,514.01/x
  3. Step 3: Cross multiply
    15,176.22x = 20,942.65 × 9,514.01
  4. Step 4: Simplify right side
    15,176.22x = 199,248,581.53
  5. Step 5: Solve for x
    x = 199,248,581.53/15,176.22
  6. Step 6: Final answer
    x = 13,129.00

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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.