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Finding the Fourth Proportional to 23,486.07, 32,413.01 and 13,416.02

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Solution

The fourth proportional to 23,486.07, 32,413.01 and 13,416.02 is: 18,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.07 : 32,413.01 = 13,416.02 : x
  2. Step 2: Convert to fraction form
    23,486.07/32,413.01 = 13,416.02/x
  3. Step 3: Cross multiply
    23,486.07x = 32,413.01 × 13,416.02
  4. Step 4: Simplify right side
    23,486.07x = 434,853,590.42
  5. Step 5: Solve for x
    x = 434,853,590.42/23,486.07
  6. Step 6: Final answer
    x = 18,515.38

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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.