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Finding the Fourth Proportional to 12,809.70, 19,193.67 and 12,323.70

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Solution

The fourth proportional to 12,809.70, 19,193.67 and 12,323.70 is: 18,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.70 : 19,193.67 = 12,323.70 : x
  2. Step 2: Convert to fraction form
    12,809.70/19,193.67 = 12,323.70/x
  3. Step 3: Cross multiply
    12,809.70x = 19,193.67 × 12,323.70
  4. Step 4: Simplify right side
    12,809.70x = 236,537,030.98
  5. Step 5: Solve for x
    x = 236,537,030.98/12,809.70
  6. Step 6: Final answer
    x = 18,465.46

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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.