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Finding the Fourth Proportional to 12,031.94, 18,043.58 and 4,632.68

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Solution

The fourth proportional to 12,031.94, 18,043.58 and 4,632.68 is: 6,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.94 : 18,043.58 = 4,632.68 : x
  2. Step 2: Convert to fraction form
    12,031.94/18,043.58 = 4,632.68/x
  3. Step 3: Cross multiply
    12,031.94x = 18,043.58 × 4,632.68
  4. Step 4: Simplify right side
    12,031.94x = 83,590,132.19
  5. Step 5: Solve for x
    x = 83,590,132.19/12,031.94
  6. Step 6: Final answer
    x = 6,947.35

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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.