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Finding the Fourth Proportional to 13,641.23, 20,457.50 and 5,319.23

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Solution

The fourth proportional to 13,641.23, 20,457.50 and 5,319.23 is: 7,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.23 : 20,457.50 = 5,319.23 : x
  2. Step 2: Convert to fraction form
    13,641.23/20,457.50 = 5,319.23/x
  3. Step 3: Cross multiply
    13,641.23x = 20,457.50 × 5,319.23
  4. Step 4: Simplify right side
    13,641.23x = 108,818,018.84
  5. Step 5: Solve for x
    x = 108,818,018.84/13,641.23
  6. Step 6: Final answer
    x = 7,977.14

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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.