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Finding the Fourth Proportional to 13,374.06, 18,455.95 and 7,405.78

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Solution

The fourth proportional to 13,374.06, 18,455.95 and 7,405.78 is: 10,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.06 : 18,455.95 = 7,405.78 : x
  2. Step 2: Convert to fraction form
    13,374.06/18,455.95 = 7,405.78/x
  3. Step 3: Cross multiply
    13,374.06x = 18,455.95 × 7,405.78
  4. Step 4: Simplify right side
    13,374.06x = 136,680,703.11
  5. Step 5: Solve for x
    x = 136,680,703.11/13,374.06
  6. Step 6: Final answer
    x = 10,219.83

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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.