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Finding the Fourth Proportional to 24,075.67, 36,123.84 and 9,294.97

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Solution

The fourth proportional to 24,075.67, 36,123.84 and 9,294.97 is: 13,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075.67 : 36,123.84 = 9,294.97 : x
  2. Step 2: Convert to fraction form
    24,075.67/36,123.84 = 9,294.97/x
  3. Step 3: Cross multiply
    24,075.67x = 36,123.84 × 9,294.97
  4. Step 4: Simplify right side
    24,075.67x = 335,769,986.51
  5. Step 5: Solve for x
    x = 335,769,986.51/24,075.67
  6. Step 6: Final answer
    x = 13,946.44

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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.