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Finding the Fourth Proportional to 16,157.88, 24,223.74 and 7,266.70

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Solution

The fourth proportional to 16,157.88, 24,223.74 and 7,266.70 is: 10,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.88 : 24,223.74 = 7,266.70 : x
  2. Step 2: Convert to fraction form
    16,157.88/24,223.74 = 7,266.70/x
  3. Step 3: Cross multiply
    16,157.88x = 24,223.74 × 7,266.70
  4. Step 4: Simplify right side
    16,157.88x = 176,026,618.15
  5. Step 5: Solve for x
    x = 176,026,618.15/16,157.88
  6. Step 6: Final answer
    x = 10,894.17

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