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Finding the Fourth Proportional to 12,932.34, 19,413.06 and 5,146.62

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Solution

The fourth proportional to 12,932.34, 19,413.06 and 5,146.62 is: 7,725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.34 : 19,413.06 = 5,146.62 : x
  2. Step 2: Convert to fraction form
    12,932.34/19,413.06 = 5,146.62/x
  3. Step 3: Cross multiply
    12,932.34x = 19,413.06 × 5,146.62
  4. Step 4: Simplify right side
    12,932.34x = 99,911,642.86
  5. Step 5: Solve for x
    x = 99,911,642.86/12,932.34
  6. Step 6: Final answer
    x = 7,725.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.