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Finding the Fourth Proportional to 24,692.24, 37,028.40 and 9,106.40

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Solution

The fourth proportional to 24,692.24, 37,028.40 and 9,106.40 is: 13,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.24 : 37,028.40 = 9,106.40 : x
  2. Step 2: Convert to fraction form
    24,692.24/37,028.40 = 9,106.40/x
  3. Step 3: Cross multiply
    24,692.24x = 37,028.40 × 9,106.40
  4. Step 4: Simplify right side
    24,692.24x = 337,195,421.76
  5. Step 5: Solve for x
    x = 337,195,421.76/24,692.24
  6. Step 6: Final answer
    x = 13,655.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.