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Finding the Fourth Proportional to 14,346.50, 19,797.63 and 7,973.48

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Solution

The fourth proportional to 14,346.50, 19,797.63 and 7,973.48 is: 11,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346.50 : 19,797.63 = 7,973.48 : x
  2. Step 2: Convert to fraction form
    14,346.50/19,797.63 = 7,973.48/x
  3. Step 3: Cross multiply
    14,346.50x = 19,797.63 × 7,973.48
  4. Step 4: Simplify right side
    14,346.50x = 157,855,907.86
  5. Step 5: Solve for x
    x = 157,855,907.86/14,346.50
  6. Step 6: Final answer
    x = 11,003.10

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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.