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Finding the Fourth Proportional to 13,007.60, 19,509.44 and 4,242.48

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Solution

The fourth proportional to 13,007.60, 19,509.44 and 4,242.48 is: 6,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.60 : 19,509.44 = 4,242.48 : x
  2. Step 2: Convert to fraction form
    13,007.60/19,509.44 = 4,242.48/x
  3. Step 3: Cross multiply
    13,007.60x = 19,509.44 × 4,242.48
  4. Step 4: Simplify right side
    13,007.60x = 82,768,409.01
  5. Step 5: Solve for x
    x = 82,768,409.01/13,007.60
  6. Step 6: Final answer
    x = 6,363.08

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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.