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Finding the Fourth Proportional to 13,718.23, 18,931.11 and 7,430.62

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Solution

The fourth proportional to 13,718.23, 18,931.11 and 7,430.62 is: 10,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.23 : 18,931.11 = 7,430.62 : x
  2. Step 2: Convert to fraction form
    13,718.23/18,931.11 = 7,430.62/x
  3. Step 3: Cross multiply
    13,718.23x = 18,931.11 × 7,430.62
  4. Step 4: Simplify right side
    13,718.23x = 140,669,884.59
  5. Step 5: Solve for x
    x = 140,669,884.59/13,718.23
  6. Step 6: Final answer
    x = 10,254.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.