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Finding the Fourth Proportional to 22,484.61, 31,027.14 and 12,413.07

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Solution

The fourth proportional to 22,484.61, 31,027.14 and 12,413.07 is: 17,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.61 : 31,027.14 = 12,413.07 : x
  2. Step 2: Convert to fraction form
    22,484.61/31,027.14 = 12,413.07/x
  3. Step 3: Cross multiply
    22,484.61x = 31,027.14 × 12,413.07
  4. Step 4: Simplify right side
    22,484.61x = 385,142,060.72
  5. Step 5: Solve for x
    x = 385,142,060.72/22,484.61
  6. Step 6: Final answer
    x = 17,129.14

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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.