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Finding the Fourth Proportional to 23,774.40, 35,651.52 and 12,678.72

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Solution

The fourth proportional to 23,774.40, 35,651.52 and 12,678.72 is: 19,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.40 : 35,651.52 = 12,678.72 : x
  2. Step 2: Convert to fraction form
    23,774.40/35,651.52 = 12,678.72/x
  3. Step 3: Cross multiply
    23,774.40x = 35,651.52 × 12,678.72
  4. Step 4: Simplify right side
    23,774.40x = 452,015,639.65
  5. Step 5: Solve for x
    x = 452,015,639.65/23,774.40
  6. Step 6: Final answer
    x = 19,012.70

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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.