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Finding the Fourth Proportional to 15,646.41, 23,413.73 and 13,590.63

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Solution

The fourth proportional to 15,646.41, 23,413.73 and 13,590.63 is: 20,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.41 : 23,413.73 = 13,590.63 : x
  2. Step 2: Convert to fraction form
    15,646.41/23,413.73 = 13,590.63/x
  3. Step 3: Cross multiply
    15,646.41x = 23,413.73 × 13,590.63
  4. Step 4: Simplify right side
    15,646.41x = 318,207,273.40
  5. Step 5: Solve for x
    x = 318,207,273.40/15,646.41
  6. Step 6: Final answer
    x = 20,337.40

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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.