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Finding the Fourth Proportional to 19,675.89, 29,503.02 and 13,442.94

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Solution

The fourth proportional to 19,675.89, 29,503.02 and 13,442.94 is: 20,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675.89 : 29,503.02 = 13,442.94 : x
  2. Step 2: Convert to fraction form
    19,675.89/29,503.02 = 13,442.94/x
  3. Step 3: Cross multiply
    19,675.89x = 29,503.02 × 13,442.94
  4. Step 4: Simplify right side
    19,675.89x = 396,607,347.64
  5. Step 5: Solve for x
    x = 396,607,347.64/19,675.89
  6. Step 6: Final answer
    x = 20,157.02

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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.