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Finding the Fourth Proportional to 27,022.70, 40,497.60 and 19,222.40

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Solution

The fourth proportional to 27,022.70, 40,497.60 and 19,222.40 is: 28,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,022.70 : 40,497.60 = 19,222.40 : x
  2. Step 2: Convert to fraction form
    27,022.70/40,497.60 = 19,222.40/x
  3. Step 3: Cross multiply
    27,022.70x = 40,497.60 × 19,222.40
  4. Step 4: Simplify right side
    27,022.70x = 778,461,066.24
  5. Step 5: Solve for x
    x = 778,461,066.24/27,022.70
  6. Step 6: Final answer
    x = 28,807.67

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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.