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Finding the Fourth Proportional to 14,561.10, 21,847.05 and 5,802.30

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Solution

The fourth proportional to 14,561.10, 21,847.05 and 5,802.30 is: 8,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.10 : 21,847.05 = 5,802.30 : x
  2. Step 2: Convert to fraction form
    14,561.10/21,847.05 = 5,802.30/x
  3. Step 3: Cross multiply
    14,561.10x = 21,847.05 × 5,802.30
  4. Step 4: Simplify right side
    14,561.10x = 126,763,138.22
  5. Step 5: Solve for x
    x = 126,763,138.22/14,561.10
  6. Step 6: Final answer
    x = 8,705.60

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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.