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Finding the Fourth Proportional to 24,413.70, 36,598.68 and 12,713.52

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Solution

The fourth proportional to 24,413.70, 36,598.68 and 12,713.52 is: 19,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.70 : 36,598.68 = 12,713.52 : x
  2. Step 2: Convert to fraction form
    24,413.70/36,598.68 = 12,713.52/x
  3. Step 3: Cross multiply
    24,413.70x = 36,598.68 × 12,713.52
  4. Step 4: Simplify right side
    24,413.70x = 465,298,050.15
  5. Step 5: Solve for x
    x = 465,298,050.15/24,413.70
  6. Step 6: Final answer
    x = 19,058.89

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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.