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Finding the Fourth Proportional to 19,893.76, 29,840.64 and 5,102.67

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Solution

The fourth proportional to 19,893.76, 29,840.64 and 5,102.67 is: 7,654.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.76 : 29,840.64 = 5,102.67 : x
  2. Step 2: Convert to fraction form
    19,893.76/29,840.64 = 5,102.67/x
  3. Step 3: Cross multiply
    19,893.76x = 29,840.64 × 5,102.67
  4. Step 4: Simplify right side
    19,893.76x = 152,267,031.82
  5. Step 5: Solve for x
    x = 152,267,031.82/19,893.76
  6. Step 6: Final answer
    x = 7,654.01

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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.