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Finding the Fourth Proportional to 12,389.78, 17,096.76 and 7,353.14

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Solution

The fourth proportional to 12,389.78, 17,096.76 and 7,353.14 is: 10,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.78 : 17,096.76 = 7,353.14 : x
  2. Step 2: Convert to fraction form
    12,389.78/17,096.76 = 7,353.14/x
  3. Step 3: Cross multiply
    12,389.78x = 17,096.76 × 7,353.14
  4. Step 4: Simplify right side
    12,389.78x = 125,714,784.34
  5. Step 5: Solve for x
    x = 125,714,784.34/12,389.78
  6. Step 6: Final answer
    x = 10,146.65

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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.