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Finding the Fourth Proportional to 12,606.86, 18,915.70 and 5,216.70

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Solution

The fourth proportional to 12,606.86, 18,915.70 and 5,216.70 is: 7,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.86 : 18,915.70 = 5,216.70 : x
  2. Step 2: Convert to fraction form
    12,606.86/18,915.70 = 5,216.70/x
  3. Step 3: Cross multiply
    12,606.86x = 18,915.70 × 5,216.70
  4. Step 4: Simplify right side
    12,606.86x = 98,677,532.19
  5. Step 5: Solve for x
    x = 98,677,532.19/12,606.86
  6. Step 6: Final answer
    x = 7,827.29

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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.