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Finding the Fourth Proportional to 21,658.68, 29,880.68 and 13,157.78

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Solution

The fourth proportional to 21,658.68, 29,880.68 and 13,157.78 is: 18,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.68 : 29,880.68 = 13,157.78 : x
  2. Step 2: Convert to fraction form
    21,658.68/29,880.68 = 13,157.78/x
  3. Step 3: Cross multiply
    21,658.68x = 29,880.68 × 13,157.78
  4. Step 4: Simplify right side
    21,658.68x = 393,163,413.69
  5. Step 5: Solve for x
    x = 393,163,413.69/21,658.68
  6. Step 6: Final answer
    x = 18,152.70

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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.