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Finding the Fourth Proportional to 13,129.61, 18,119.93 and 7,466.13

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Solution

The fourth proportional to 13,129.61, 18,119.93 and 7,466.13 is: 10,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.61 : 18,119.93 = 7,466.13 : x
  2. Step 2: Convert to fraction form
    13,129.61/18,119.93 = 7,466.13/x
  3. Step 3: Cross multiply
    13,129.61x = 18,119.93 × 7,466.13
  4. Step 4: Simplify right side
    13,129.61x = 135,285,752.97
  5. Step 5: Solve for x
    x = 135,285,752.97/13,129.61
  6. Step 6: Final answer
    x = 10,303.87

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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.