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Finding the Fourth Proportional to 19,909.69, 29,852 and 9,373.36

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Solution

The fourth proportional to 19,909.69, 29,852 and 9,373.36 is: 14,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.69 : 29,852 = 9,373.36 : x
  2. Step 2: Convert to fraction form
    19,909.69/29,852 = 9,373.36/x
  3. Step 3: Cross multiply
    19,909.69x = 29,852 × 9,373.36
  4. Step 4: Simplify right side
    19,909.69x = 279,813,542.72
  5. Step 5: Solve for x
    x = 279,813,542.72/19,909.69
  6. Step 6: Final answer
    x = 14,054.14

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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.