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Finding the Fourth Proportional to 22,476.44, 31,019.47 and 12,407.06

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Solution

The fourth proportional to 22,476.44, 31,019.47 and 12,407.06 is: 17,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476.44 : 31,019.47 = 12,407.06 : x
  2. Step 2: Convert to fraction form
    22,476.44/31,019.47 = 12,407.06/x
  3. Step 3: Cross multiply
    22,476.44x = 31,019.47 × 12,407.06
  4. Step 4: Simplify right side
    22,476.44x = 384,860,239.34
  5. Step 5: Solve for x
    x = 384,860,239.34/22,476.44
  6. Step 6: Final answer
    x = 17,122.83

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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.