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Finding the Fourth Proportional to 19,000.74, 28,497.78 and 5,146.50

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Solution

The fourth proportional to 19,000.74, 28,497.78 and 5,146.50 is: 7,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000.74 : 28,497.78 = 5,146.50 : x
  2. Step 2: Convert to fraction form
    19,000.74/28,497.78 = 5,146.50/x
  3. Step 3: Cross multiply
    19,000.74x = 28,497.78 × 5,146.50
  4. Step 4: Simplify right side
    19,000.74x = 146,663,824.77
  5. Step 5: Solve for x
    x = 146,663,824.77/19,000.74
  6. Step 6: Final answer
    x = 7,718.85

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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.