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Finding the Fourth Proportional to 22,484.78, 31,029.45 and 12,413.18

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Solution

The fourth proportional to 22,484.78, 31,029.45 and 12,413.18 is: 17,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.78 : 31,029.45 = 12,413.18 : x
  2. Step 2: Convert to fraction form
    22,484.78/31,029.45 = 12,413.18/x
  3. Step 3: Cross multiply
    22,484.78x = 31,029.45 × 12,413.18
  4. Step 4: Simplify right side
    22,484.78x = 385,174,148.15
  5. Step 5: Solve for x
    x = 385,174,148.15/22,484.78
  6. Step 6: Final answer
    x = 17,130.44

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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.