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Finding the Fourth Proportional to 12,424.51, 17,149.89 and 7,954.93

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Solution

The fourth proportional to 12,424.51, 17,149.89 and 7,954.93 is: 10,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.51 : 17,149.89 = 7,954.93 : x
  2. Step 2: Convert to fraction form
    12,424.51/17,149.89 = 7,954.93/x
  3. Step 3: Cross multiply
    12,424.51x = 17,149.89 × 7,954.93
  4. Step 4: Simplify right side
    12,424.51x = 136,426,174.46
  5. Step 5: Solve for x
    x = 136,426,174.46/12,424.51
  6. Step 6: Final answer
    x = 10,980.41

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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.