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Finding the Fourth Proportional to 12,289.64, 18,434.58 and 3,055.64

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Solution

The fourth proportional to 12,289.64, 18,434.58 and 3,055.64 is: 4,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.64 : 18,434.58 = 3,055.64 : x
  2. Step 2: Convert to fraction form
    12,289.64/18,434.58 = 3,055.64/x
  3. Step 3: Cross multiply
    12,289.64x = 18,434.58 × 3,055.64
  4. Step 4: Simplify right side
    12,289.64x = 56,329,440.03
  5. Step 5: Solve for x
    x = 56,329,440.03/12,289.64
  6. Step 6: Final answer
    x = 4,583.49

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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.