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Finding the Fourth Proportional to 23,486.68, 32,410.38 and 13,413.13

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Solution

The fourth proportional to 23,486.68, 32,410.38 and 13,413.13 is: 18,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.68 : 32,410.38 = 13,413.13 : x
  2. Step 2: Convert to fraction form
    23,486.68/32,410.38 = 13,413.13/x
  3. Step 3: Cross multiply
    23,486.68x = 32,410.38 × 13,413.13
  4. Step 4: Simplify right side
    23,486.68x = 434,724,534.11
  5. Step 5: Solve for x
    x = 434,724,534.11/23,486.68
  6. Step 6: Final answer
    x = 18,509.41

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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.