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Finding the Fourth Proportional to 12,733.64, 19,094.20 and 7,478.88

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Solution

The fourth proportional to 12,733.64, 19,094.20 and 7,478.88 is: 11,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.64 : 19,094.20 = 7,478.88 : x
  2. Step 2: Convert to fraction form
    12,733.64/19,094.20 = 7,478.88/x
  3. Step 3: Cross multiply
    12,733.64x = 19,094.20 × 7,478.88
  4. Step 4: Simplify right side
    12,733.64x = 142,803,230.50
  5. Step 5: Solve for x
    x = 142,803,230.50/12,733.64
  6. Step 6: Final answer
    x = 11,214.64

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Why These Related Problems?

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