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Finding the Fourth Proportional to 12,615.15, 18,923.76 and 5,218.23

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Solution

The fourth proportional to 12,615.15, 18,923.76 and 5,218.23 is: 7,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.15 : 18,923.76 = 5,218.23 : x
  2. Step 2: Convert to fraction form
    12,615.15/18,923.76 = 5,218.23/x
  3. Step 3: Cross multiply
    12,615.15x = 18,923.76 × 5,218.23
  4. Step 4: Simplify right side
    12,615.15x = 98,748,532.14
  5. Step 5: Solve for x
    x = 98,748,532.14/12,615.15
  6. Step 6: Final answer
    x = 7,827.77

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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.