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Finding the Fourth Proportional to 19,348.81, 29,022 and 11,551.75

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Solution

The fourth proportional to 19,348.81, 29,022 and 11,551.75 is: 17,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,348.81 : 29,022 = 11,551.75 : x
  2. Step 2: Convert to fraction form
    19,348.81/29,022 = 11,551.75/x
  3. Step 3: Cross multiply
    19,348.81x = 29,022 × 11,551.75
  4. Step 4: Simplify right side
    19,348.81x = 335,254,888.50
  5. Step 5: Solve for x
    x = 335,254,888.50/19,348.81
  6. Step 6: Final answer
    x = 17,326.90

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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.