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Finding the Fourth Proportional to 14,377.69, 19,840.71 and 8,004.07

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Solution

The fourth proportional to 14,377.69, 19,840.71 and 8,004.07 is: 11,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377.69 : 19,840.71 = 8,004.07 : x
  2. Step 2: Convert to fraction form
    14,377.69/19,840.71 = 8,004.07/x
  3. Step 3: Cross multiply
    14,377.69x = 19,840.71 × 8,004.07
  4. Step 4: Simplify right side
    14,377.69x = 158,806,431.69
  5. Step 5: Solve for x
    x = 158,806,431.69/14,377.69
  6. Step 6: Final answer
    x = 11,045.34

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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.