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Finding the Fourth Proportional to 13,138.72, 19,708.08 and 5,345.76

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Solution

The fourth proportional to 13,138.72, 19,708.08 and 5,345.76 is: 8,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.72 : 19,708.08 = 5,345.76 : x
  2. Step 2: Convert to fraction form
    13,138.72/19,708.08 = 5,345.76/x
  3. Step 3: Cross multiply
    13,138.72x = 19,708.08 × 5,345.76
  4. Step 4: Simplify right side
    13,138.72x = 105,354,665.74
  5. Step 5: Solve for x
    x = 105,354,665.74/13,138.72
  6. Step 6: Final answer
    x = 8,018.64

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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.