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Finding the Fourth Proportional to 14,006.66, 19,328.94 and 7,633.29

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Solution

The fourth proportional to 14,006.66, 19,328.94 and 7,633.29 is: 10,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.66 : 19,328.94 = 7,633.29 : x
  2. Step 2: Convert to fraction form
    14,006.66/19,328.94 = 7,633.29/x
  3. Step 3: Cross multiply
    14,006.66x = 19,328.94 × 7,633.29
  4. Step 4: Simplify right side
    14,006.66x = 147,543,404.41
  5. Step 5: Solve for x
    x = 147,543,404.41/14,006.66
  6. Step 6: Final answer
    x = 10,533.80

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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.