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Finding the Fourth Proportional to 22,967.58, 31,692.90 and 15,412.40

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Solution

The fourth proportional to 22,967.58, 31,692.90 and 15,412.40 is: 21,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.58 : 31,692.90 = 15,412.40 : x
  2. Step 2: Convert to fraction form
    22,967.58/31,692.90 = 15,412.40/x
  3. Step 3: Cross multiply
    22,967.58x = 31,692.90 × 15,412.40
  4. Step 4: Simplify right side
    22,967.58x = 488,463,651.96
  5. Step 5: Solve for x
    x = 488,463,651.96/22,967.58
  6. Step 6: Final answer
    x = 21,267.53

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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.