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Finding the Fourth Proportional to 13,130.46, 19,692.18 and 8,969.76

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Solution

The fourth proportional to 13,130.46, 19,692.18 and 8,969.76 is: 13,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.46 : 19,692.18 = 8,969.76 : x
  2. Step 2: Convert to fraction form
    13,130.46/19,692.18 = 8,969.76/x
  3. Step 3: Cross multiply
    13,130.46x = 19,692.18 × 8,969.76
  4. Step 4: Simplify right side
    13,130.46x = 176,634,128.48
  5. Step 5: Solve for x
    x = 176,634,128.48/13,130.46
  6. Step 6: Final answer
    x = 13,452.24

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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.