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Finding the Fourth Proportional to 23,487.54, 32,413.08 and 13,417.32

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Solution

The fourth proportional to 23,487.54, 32,413.08 and 13,417.32 is: 18,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487.54 : 32,413.08 = 13,417.32 : x
  2. Step 2: Convert to fraction form
    23,487.54/32,413.08 = 13,417.32/x
  3. Step 3: Cross multiply
    23,487.54x = 32,413.08 × 13,417.32
  4. Step 4: Simplify right side
    23,487.54x = 434,896,666.55
  5. Step 5: Solve for x
    x = 434,896,666.55/23,487.54
  6. Step 6: Final answer
    x = 18,516.06

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