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Finding the Fourth Proportional to 13,376.34, 18,458.64 and 7,407.54

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Solution

The fourth proportional to 13,376.34, 18,458.64 and 7,407.54 is: 10,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.34 : 18,458.64 = 7,407.54 : x
  2. Step 2: Convert to fraction form
    13,376.34/18,458.64 = 7,407.54/x
  3. Step 3: Cross multiply
    13,376.34x = 18,458.64 × 7,407.54
  4. Step 4: Simplify right side
    13,376.34x = 136,733,114.15
  5. Step 5: Solve for x
    x = 136,733,114.15/13,376.34
  6. Step 6: Final answer
    x = 10,222.01

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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.