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Finding the Fourth Proportional to 23,483.31, 32,409.21 and 13,413.26

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Solution

The fourth proportional to 23,483.31, 32,409.21 and 13,413.26 is: 18,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,483.31 : 32,409.21 = 13,413.26 : x
  2. Step 2: Convert to fraction form
    23,483.31/32,409.21 = 13,413.26/x
  3. Step 3: Cross multiply
    23,483.31x = 32,409.21 × 13,413.26
  4. Step 4: Simplify right side
    23,483.31x = 434,713,112.63
  5. Step 5: Solve for x
    x = 434,713,112.63/23,483.31
  6. Step 6: Final answer
    x = 18,511.58

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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.