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Finding the Fourth Proportional to 12,031.36, 18,038.64 and 4,629.60

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Solution

The fourth proportional to 12,031.36, 18,038.64 and 4,629.60 is: 6,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.36 : 18,038.64 = 4,629.60 : x
  2. Step 2: Convert to fraction form
    12,031.36/18,038.64 = 4,629.60/x
  3. Step 3: Cross multiply
    12,031.36x = 18,038.64 × 4,629.60
  4. Step 4: Simplify right side
    12,031.36x = 83,511,687.74
  5. Step 5: Solve for x
    x = 83,511,687.74/12,031.36
  6. Step 6: Final answer
    x = 6,941.17

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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.