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Finding the Fourth Proportional to 13,001.14, 19,503.74 and 4,234.02

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Solution

The fourth proportional to 13,001.14, 19,503.74 and 4,234.02 is: 6,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.14 : 19,503.74 = 4,234.02 : x
  2. Step 2: Convert to fraction form
    13,001.14/19,503.74 = 4,234.02/x
  3. Step 3: Cross multiply
    13,001.14x = 19,503.74 × 4,234.02
  4. Step 4: Simplify right side
    13,001.14x = 82,579,225.23
  5. Step 5: Solve for x
    x = 82,579,225.23/13,001.14
  6. Step 6: Final answer
    x = 6,351.69

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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.