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Finding the Fourth Proportional to 13,007.10, 19,507.05 and 5,216.70

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Solution

The fourth proportional to 13,007.10, 19,507.05 and 5,216.70 is: 7,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.10 : 19,507.05 = 5,216.70 : x
  2. Step 2: Convert to fraction form
    13,007.10/19,507.05 = 5,216.70/x
  3. Step 3: Cross multiply
    13,007.10x = 19,507.05 × 5,216.70
  4. Step 4: Simplify right side
    13,007.10x = 101,762,427.74
  5. Step 5: Solve for x
    x = 101,762,427.74/13,007.10
  6. Step 6: Final answer
    x = 7,823.61

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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.