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Finding the Fourth Proportional to 14,713.47, 20,304.38 and 7,998.93

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Solution

The fourth proportional to 14,713.47, 20,304.38 and 7,998.93 is: 11,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.47 : 20,304.38 = 7,998.93 : x
  2. Step 2: Convert to fraction form
    14,713.47/20,304.38 = 7,998.93/x
  3. Step 3: Cross multiply
    14,713.47x = 20,304.38 × 7,998.93
  4. Step 4: Simplify right side
    14,713.47x = 162,413,334.31
  5. Step 5: Solve for x
    x = 162,413,334.31/14,713.47
  6. Step 6: Final answer
    x = 11,038.41

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Why These Related Problems?

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