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Finding the Fourth Proportional to 12,404.94, 17,114.67 and 7,434.06

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Solution

The fourth proportional to 12,404.94, 17,114.67 and 7,434.06 is: 10,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404.94 : 17,114.67 = 7,434.06 : x
  2. Step 2: Convert to fraction form
    12,404.94/17,114.67 = 7,434.06/x
  3. Step 3: Cross multiply
    12,404.94x = 17,114.67 × 7,434.06
  4. Step 4: Simplify right side
    12,404.94x = 127,231,483.66
  5. Step 5: Solve for x
    x = 127,231,483.66/12,404.94
  6. Step 6: Final answer
    x = 10,256.52

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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.