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Finding the Fourth Proportional to 13,738.65, 20,607.96 and 4,971.51

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Solution

The fourth proportional to 13,738.65, 20,607.96 and 4,971.51 is: 7,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.65 : 20,607.96 = 4,971.51 : x
  2. Step 2: Convert to fraction form
    13,738.65/20,607.96 = 4,971.51/x
  3. Step 3: Cross multiply
    13,738.65x = 20,607.96 × 4,971.51
  4. Step 4: Simplify right side
    13,738.65x = 102,452,679.22
  5. Step 5: Solve for x
    x = 102,452,679.22/13,738.65
  6. Step 6: Final answer
    x = 7,457.26

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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.