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Finding the Fourth Proportional to 13,378.03, 18,461.84 and 7,409.81

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Solution

The fourth proportional to 13,378.03, 18,461.84 and 7,409.81 is: 10,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.03 : 18,461.84 = 7,409.81 : x
  2. Step 2: Convert to fraction form
    13,378.03/18,461.84 = 7,409.81/x
  3. Step 3: Cross multiply
    13,378.03x = 18,461.84 × 7,409.81
  4. Step 4: Simplify right side
    13,378.03x = 136,798,735.76
  5. Step 5: Solve for x
    x = 136,798,735.76/13,378.03
  6. Step 6: Final answer
    x = 10,225.63

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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.