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Finding the Fourth Proportional to 13,002.57, 19,501.83 and 4,237.43

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Solution

The fourth proportional to 13,002.57, 19,501.83 and 4,237.43 is: 6,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.57 : 19,501.83 = 4,237.43 : x
  2. Step 2: Convert to fraction form
    13,002.57/19,501.83 = 4,237.43/x
  3. Step 3: Cross multiply
    13,002.57x = 19,501.83 × 4,237.43
  4. Step 4: Simplify right side
    13,002.57x = 82,637,541.99
  5. Step 5: Solve for x
    x = 82,637,541.99/13,002.57
  6. Step 6: Final answer
    x = 6,355.48

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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.