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Finding the Fourth Proportional to 14,657.16, 21,970.22 and 4,793.78

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Solution

The fourth proportional to 14,657.16, 21,970.22 and 4,793.78 is: 7,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.16 : 21,970.22 = 4,793.78 : x
  2. Step 2: Convert to fraction form
    14,657.16/21,970.22 = 4,793.78/x
  3. Step 3: Cross multiply
    14,657.16x = 21,970.22 × 4,793.78
  4. Step 4: Simplify right side
    14,657.16x = 105,320,401.23
  5. Step 5: Solve for x
    x = 105,320,401.23/14,657.16
  6. Step 6: Final answer
    x = 7,185.59

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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.