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Finding the Fourth Proportional to 15,785.97, 23,678.96 and 4,692.62

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Solution

The fourth proportional to 15,785.97, 23,678.96 and 4,692.62 is: 7,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.97 : 23,678.96 = 4,692.62 : x
  2. Step 2: Convert to fraction form
    15,785.97/23,678.96 = 4,692.62/x
  3. Step 3: Cross multiply
    15,785.97x = 23,678.96 × 4,692.62
  4. Step 4: Simplify right side
    15,785.97x = 111,116,219.42
  5. Step 5: Solve for x
    x = 111,116,219.42/15,785.97
  6. Step 6: Final answer
    x = 7,038.92

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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.