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Finding the Fourth Proportional to 15,413.46, 23,128.29 and 8,398.50

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Solution

The fourth proportional to 15,413.46, 23,128.29 and 8,398.50 is: 12,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.46 : 23,128.29 = 8,398.50 : x
  2. Step 2: Convert to fraction form
    15,413.46/23,128.29 = 8,398.50/x
  3. Step 3: Cross multiply
    15,413.46x = 23,128.29 × 8,398.50
  4. Step 4: Simplify right side
    15,413.46x = 194,242,943.57
  5. Step 5: Solve for x
    x = 194,242,943.57/15,413.46
  6. Step 6: Final answer
    x = 12,602.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.