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Finding the Fourth Proportional to 23,274.47, 32,119.47 and 12,664.82

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Solution

The fourth proportional to 23,274.47, 32,119.47 and 12,664.82 is: 17,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,274.47 : 32,119.47 = 12,664.82 : x
  2. Step 2: Convert to fraction form
    23,274.47/32,119.47 = 12,664.82/x
  3. Step 3: Cross multiply
    23,274.47x = 32,119.47 × 12,664.82
  4. Step 4: Simplify right side
    23,274.47x = 406,787,386.34
  5. Step 5: Solve for x
    x = 406,787,386.34/23,274.47
  6. Step 6: Final answer
    x = 17,477.83

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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.