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Finding the Fourth Proportional to 12,358.56, 18,516.24 and 10,291.86

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Solution

The fourth proportional to 12,358.56, 18,516.24 and 10,291.86 is: 15,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.56 : 18,516.24 = 10,291.86 : x
  2. Step 2: Convert to fraction form
    12,358.56/18,516.24 = 10,291.86/x
  3. Step 3: Cross multiply
    12,358.56x = 18,516.24 × 10,291.86
  4. Step 4: Simplify right side
    12,358.56x = 190,566,549.81
  5. Step 5: Solve for x
    x = 190,566,549.81/12,358.56
  6. Step 6: Final answer
    x = 15,419.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.