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Finding the Fourth Proportional to 24,663.84, 34,038 and 20,413.68

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Solution

The fourth proportional to 24,663.84, 34,038 and 20,413.68 is: 28,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,663.84 : 34,038 = 20,413.68 : x
  2. Step 2: Convert to fraction form
    24,663.84/34,038 = 20,413.68/x
  3. Step 3: Cross multiply
    24,663.84x = 34,038 × 20,413.68
  4. Step 4: Simplify right side
    24,663.84x = 694,840,839.84
  5. Step 5: Solve for x
    x = 694,840,839.84/24,663.84
  6. Step 6: Final answer
    x = 28,172.45

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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.