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Finding the Fourth Proportional to 12,100.64, 18,152.78 and 4,307.63

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Solution

The fourth proportional to 12,100.64, 18,152.78 and 4,307.63 is: 6,462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.64 : 18,152.78 = 4,307.63 : x
  2. Step 2: Convert to fraction form
    12,100.64/18,152.78 = 4,307.63/x
  3. Step 3: Cross multiply
    12,100.64x = 18,152.78 × 4,307.63
  4. Step 4: Simplify right side
    12,100.64x = 78,195,347.41
  5. Step 5: Solve for x
    x = 78,195,347.41/12,100.64
  6. Step 6: Final answer
    x = 6,462.09

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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.