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Finding the Fourth Proportional to 19,973.36, 29,964.36 and 6,122

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Solution

The fourth proportional to 19,973.36, 29,964.36 and 6,122 is: 9,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973.36 : 29,964.36 = 6,122 : x
  2. Step 2: Convert to fraction form
    19,973.36/29,964.36 = 6,122/x
  3. Step 3: Cross multiply
    19,973.36x = 29,964.36 × 6,122
  4. Step 4: Simplify right side
    19,973.36x = 183,441,811.92
  5. Step 5: Solve for x
    x = 183,441,811.92/19,973.36
  6. Step 6: Final answer
    x = 9,184.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.