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Finding the Fourth Proportional to 30,925.72, 46,413.18 and 11,209.90

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Solution

The fourth proportional to 30,925.72, 46,413.18 and 11,209.90 is: 16,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,925.72 : 46,413.18 = 11,209.90 : x
  2. Step 2: Convert to fraction form
    30,925.72/46,413.18 = 11,209.90/x
  3. Step 3: Cross multiply
    30,925.72x = 46,413.18 × 11,209.90
  4. Step 4: Simplify right side
    30,925.72x = 520,287,106.48
  5. Step 5: Solve for x
    x = 520,287,106.48/30,925.72
  6. Step 6: Final answer
    x = 16,823.77

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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.