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Finding the Fourth Proportional to 12,941.03, 19,384.66 and 8,237.77

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Solution

The fourth proportional to 12,941.03, 19,384.66 and 8,237.77 is: 12,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941.03 : 19,384.66 = 8,237.77 : x
  2. Step 2: Convert to fraction form
    12,941.03/19,384.66 = 8,237.77/x
  3. Step 3: Cross multiply
    12,941.03x = 19,384.66 × 8,237.77
  4. Step 4: Simplify right side
    12,941.03x = 159,686,370.61
  5. Step 5: Solve for x
    x = 159,686,370.61/12,941.03
  6. Step 6: Final answer
    x = 12,339.54

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1.5x scale

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.