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Finding the Fourth Proportional to 12,934.72, 17,849.12 and 7,629.76

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Solution

The fourth proportional to 12,934.72, 17,849.12 and 7,629.76 is: 10,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.72 : 17,849.12 = 7,629.76 : x
  2. Step 2: Convert to fraction form
    12,934.72/17,849.12 = 7,629.76/x
  3. Step 3: Cross multiply
    12,934.72x = 17,849.12 × 7,629.76
  4. Step 4: Simplify right side
    12,934.72x = 136,184,501.81
  5. Step 5: Solve for x
    x = 136,184,501.81/12,934.72
  6. Step 6: Final answer
    x = 10,528.60

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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.