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Finding the Fourth Proportional to 14,117.69, 19,466.53 and 11,557.49

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Solution

The fourth proportional to 14,117.69, 19,466.53 and 11,557.49 is: 15,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.69 : 19,466.53 = 11,557.49 : x
  2. Step 2: Convert to fraction form
    14,117.69/19,466.53 = 11,557.49/x
  3. Step 3: Cross multiply
    14,117.69x = 19,466.53 × 11,557.49
  4. Step 4: Simplify right side
    14,117.69x = 224,984,099.58
  5. Step 5: Solve for x
    x = 224,984,099.58/14,117.69
  6. Step 6: Final answer
    x = 15,936.32

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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.