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Finding the Fourth Proportional to 19,623.26, 29,425.64 and 7,134.50

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Solution

The fourth proportional to 19,623.26, 29,425.64 and 7,134.50 is: 10,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,623.26 : 29,425.64 = 7,134.50 : x
  2. Step 2: Convert to fraction form
    19,623.26/29,425.64 = 7,134.50/x
  3. Step 3: Cross multiply
    19,623.26x = 29,425.64 × 7,134.50
  4. Step 4: Simplify right side
    19,623.26x = 209,937,228.58
  5. Step 5: Solve for x
    x = 209,937,228.58/19,623.26
  6. Step 6: Final answer
    x = 10,698.39

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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.