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Finding the Fourth Proportional to 22,970.69, 34,448.74 and 7,384.67

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Solution

The fourth proportional to 22,970.69, 34,448.74 and 7,384.67 is: 11,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.69 : 34,448.74 = 7,384.67 : x
  2. Step 2: Convert to fraction form
    22,970.69/34,448.74 = 7,384.67/x
  3. Step 3: Cross multiply
    22,970.69x = 34,448.74 × 7,384.67
  4. Step 4: Simplify right side
    22,970.69x = 254,392,386.11
  5. Step 5: Solve for x
    x = 254,392,386.11/22,970.69
  6. Step 6: Final answer
    x = 11,074.65

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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.