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Finding the Fourth Proportional to 19,531.84, 29,308.68 and 7,853.26

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Solution

The fourth proportional to 19,531.84, 29,308.68 and 7,853.26 is: 11,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,531.84 : 29,308.68 = 7,853.26 : x
  2. Step 2: Convert to fraction form
    19,531.84/29,308.68 = 7,853.26/x
  3. Step 3: Cross multiply
    19,531.84x = 29,308.68 × 7,853.26
  4. Step 4: Simplify right side
    19,531.84x = 230,168,684.30
  5. Step 5: Solve for x
    x = 230,168,684.30/19,531.84
  6. Step 6: Final answer
    x = 11,784.28

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