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Finding the Fourth Proportional to 19,634.50, 29,457.55 and 11,320.48

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Solution

The fourth proportional to 19,634.50, 29,457.55 and 11,320.48 is: 16,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634.50 : 29,457.55 = 11,320.48 : x
  2. Step 2: Convert to fraction form
    19,634.50/29,457.55 = 11,320.48/x
  3. Step 3: Cross multiply
    19,634.50x = 29,457.55 × 11,320.48
  4. Step 4: Simplify right side
    19,634.50x = 333,473,430.04
  5. Step 5: Solve for x
    x = 333,473,430.04/19,634.50
  6. Step 6: Final answer
    x = 16,984.06

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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.