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Finding the Fourth Proportional to 14,657.98, 21,989.72 and 4,797.80

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Solution

The fourth proportional to 14,657.98, 21,989.72 and 4,797.80 is: 7,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.98 : 21,989.72 = 4,797.80 : x
  2. Step 2: Convert to fraction form
    14,657.98/21,989.72 = 4,797.80/x
  3. Step 3: Cross multiply
    14,657.98x = 21,989.72 × 4,797.80
  4. Step 4: Simplify right side
    14,657.98x = 105,502,278.62
  5. Step 5: Solve for x
    x = 105,502,278.62/14,657.98
  6. Step 6: Final answer
    x = 7,197.60

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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.