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Finding the Fourth Proportional to 12,329.96, 17,014.47 and 7,023.80

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Solution

The fourth proportional to 12,329.96, 17,014.47 and 7,023.80 is: 9,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.96 : 17,014.47 = 7,023.80 : x
  2. Step 2: Convert to fraction form
    12,329.96/17,014.47 = 7,023.80/x
  3. Step 3: Cross multiply
    12,329.96x = 17,014.47 × 7,023.80
  4. Step 4: Simplify right side
    12,329.96x = 119,506,234.39
  5. Step 5: Solve for x
    x = 119,506,234.39/12,329.96
  6. Step 6: Final answer
    x = 9,692.35

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1.5x scale

Why These Related Problems?

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