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Finding the Fourth Proportional to 13,271.12, 18,314.58 and 7,303.22

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Solution

The fourth proportional to 13,271.12, 18,314.58 and 7,303.22 is: 10,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,271.12 : 18,314.58 = 7,303.22 : x
  2. Step 2: Convert to fraction form
    13,271.12/18,314.58 = 7,303.22/x
  3. Step 3: Cross multiply
    13,271.12x = 18,314.58 × 7,303.22
  4. Step 4: Simplify right side
    13,271.12x = 133,755,406.95
  5. Step 5: Solve for x
    x = 133,755,406.95/13,271.12
  6. Step 6: Final answer
    x = 10,078.68

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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.