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Finding the Fourth Proportional to 24,413.98, 33,691.93 and 13,658.50

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Solution

The fourth proportional to 24,413.98, 33,691.93 and 13,658.50 is: 18,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.98 : 33,691.93 = 13,658.50 : x
  2. Step 2: Convert to fraction form
    24,413.98/33,691.93 = 13,658.50/x
  3. Step 3: Cross multiply
    24,413.98x = 33,691.93 × 13,658.50
  4. Step 4: Simplify right side
    24,413.98x = 460,181,187.13
  5. Step 5: Solve for x
    x = 460,181,187.13/24,413.98
  6. Step 6: Final answer
    x = 18,849.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.