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Finding the Fourth Proportional to 19,841.84, 29,762.04 and 8,000.72

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Solution

The fourth proportional to 19,841.84, 29,762.04 and 8,000.72 is: 12,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.84 : 29,762.04 = 8,000.72 : x
  2. Step 2: Convert to fraction form
    19,841.84/29,762.04 = 8,000.72/x
  3. Step 3: Cross multiply
    19,841.84x = 29,762.04 × 8,000.72
  4. Step 4: Simplify right side
    19,841.84x = 238,117,748.67
  5. Step 5: Solve for x
    x = 238,117,748.67/19,841.84
  6. Step 6: Final answer
    x = 12,000.79

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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.