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Finding the Fourth Proportional to 14,099.82, 19,466.72 and 8,802.42

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Solution

The fourth proportional to 14,099.82, 19,466.72 and 8,802.42 is: 12,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.82 : 19,466.72 = 8,802.42 : x
  2. Step 2: Convert to fraction form
    14,099.82/19,466.72 = 8,802.42/x
  3. Step 3: Cross multiply
    14,099.82x = 19,466.72 × 8,802.42
  4. Step 4: Simplify right side
    14,099.82x = 171,354,161.46
  5. Step 5: Solve for x
    x = 171,354,161.46/14,099.82
  6. Step 6: Final answer
    x = 12,152.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.