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Finding the Fourth Proportional to 13,216.51, 19,819 and 5,002.75

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Solution

The fourth proportional to 13,216.51, 19,819 and 5,002.75 is: 7,501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216.51 : 19,819 = 5,002.75 : x
  2. Step 2: Convert to fraction form
    13,216.51/19,819 = 5,002.75/x
  3. Step 3: Cross multiply
    13,216.51x = 19,819 × 5,002.75
  4. Step 4: Simplify right side
    13,216.51x = 99,149,502.25
  5. Step 5: Solve for x
    x = 99,149,502.25/13,216.51
  6. Step 6: Final answer
    x = 7,501.94

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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.