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Finding the Fourth Proportional to 13,007.35, 19,509.05 and 4,242.25

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Solution

The fourth proportional to 13,007.35, 19,509.05 and 4,242.25 is: 6,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.35 : 19,509.05 = 4,242.25 : x
  2. Step 2: Convert to fraction form
    13,007.35/19,509.05 = 4,242.25/x
  3. Step 3: Cross multiply
    13,007.35x = 19,509.05 × 4,242.25
  4. Step 4: Simplify right side
    13,007.35x = 82,762,246.15
  5. Step 5: Solve for x
    x = 82,762,246.15/13,007.35
  6. Step 6: Final answer
    x = 6,362.73

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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.