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Finding the Fourth Proportional to 13,703.50, 18,903.54 and 9,219.61

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Solution

The fourth proportional to 13,703.50, 18,903.54 and 9,219.61 is: 12,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.50 : 18,903.54 = 9,219.61 : x
  2. Step 2: Convert to fraction form
    13,703.50/18,903.54 = 9,219.61/x
  3. Step 3: Cross multiply
    13,703.50x = 18,903.54 × 9,219.61
  4. Step 4: Simplify right side
    13,703.50x = 174,283,266.42
  5. Step 5: Solve for x
    x = 174,283,266.42/13,703.50
  6. Step 6: Final answer
    x = 12,718.16

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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.