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Finding the Fourth Proportional to 12,031.11, 16,594.70 and 7,845.03

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Solution

The fourth proportional to 12,031.11, 16,594.70 and 7,845.03 is: 10,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.11 : 16,594.70 = 7,845.03 : x
  2. Step 2: Convert to fraction form
    12,031.11/16,594.70 = 7,845.03/x
  3. Step 3: Cross multiply
    12,031.11x = 16,594.70 × 7,845.03
  4. Step 4: Simplify right side
    12,031.11x = 130,185,880.12
  5. Step 5: Solve for x
    x = 130,185,880.12/12,031.11
  6. Step 6: Final answer
    x = 10,820.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.