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Finding the Fourth Proportional to 13,038.67, 19,508.79 and 7,494.62

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Solution

The fourth proportional to 13,038.67, 19,508.79 and 7,494.62 is: 11,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.67 : 19,508.79 = 7,494.62 : x
  2. Step 2: Convert to fraction form
    13,038.67/19,508.79 = 7,494.62/x
  3. Step 3: Cross multiply
    13,038.67x = 19,508.79 × 7,494.62
  4. Step 4: Simplify right side
    13,038.67x = 146,210,967.71
  5. Step 5: Solve for x
    x = 146,210,967.71/13,038.67
  6. Step 6: Final answer
    x = 11,213.65

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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.