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Finding the Fourth Proportional to 14,411.69, 19,889.04 and 8,124.47

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Solution

The fourth proportional to 14,411.69, 19,889.04 and 8,124.47 is: 11,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.69 : 19,889.04 = 8,124.47 : x
  2. Step 2: Convert to fraction form
    14,411.69/19,889.04 = 8,124.47/x
  3. Step 3: Cross multiply
    14,411.69x = 19,889.04 × 8,124.47
  4. Step 4: Simplify right side
    14,411.69x = 161,587,809.36
  5. Step 5: Solve for x
    x = 161,587,809.36/14,411.69
  6. Step 6: Final answer
    x = 11,212.28

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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.