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Finding the Fourth Proportional to 14,536.17, 21,802.19 and 4,674.20

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Solution

The fourth proportional to 14,536.17, 21,802.19 and 4,674.20 is: 7,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.17 : 21,802.19 = 4,674.20 : x
  2. Step 2: Convert to fraction form
    14,536.17/21,802.19 = 4,674.20/x
  3. Step 3: Cross multiply
    14,536.17x = 21,802.19 × 4,674.20
  4. Step 4: Simplify right side
    14,536.17x = 101,907,664.12
  5. Step 5: Solve for x
    x = 101,907,664.12/14,536.17
  6. Step 6: Final answer
    x = 7,010.63

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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.