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Finding the Fourth Proportional to 28,711.32, 43,066.98 and 16,989

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Solution

The fourth proportional to 28,711.32, 43,066.98 and 16,989 is: 25,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,711.32 : 43,066.98 = 16,989 : x
  2. Step 2: Convert to fraction form
    28,711.32/43,066.98 = 16,989/x
  3. Step 3: Cross multiply
    28,711.32x = 43,066.98 × 16,989
  4. Step 4: Simplify right side
    28,711.32x = 731,664,923.22
  5. Step 5: Solve for x
    x = 731,664,923.22/28,711.32
  6. Step 6: Final answer
    x = 25,483.50

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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.