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Finding the Fourth Proportional to 19,412.98, 29,134.59 and 13,531.30

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Solution

The fourth proportional to 19,412.98, 29,134.59 and 13,531.30 is: 20,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.98 : 29,134.59 = 13,531.30 : x
  2. Step 2: Convert to fraction form
    19,412.98/29,134.59 = 13,531.30/x
  3. Step 3: Cross multiply
    19,412.98x = 29,134.59 × 13,531.30
  4. Step 4: Simplify right side
    19,412.98x = 394,228,877.67
  5. Step 5: Solve for x
    x = 394,228,877.67/19,412.98
  6. Step 6: Final answer
    x = 20,307.49

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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.