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Finding the Fourth Proportional to 15,477.61, 23,221.48 and 4,949.37

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Solution

The fourth proportional to 15,477.61, 23,221.48 and 4,949.37 is: 7,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477.61 : 23,221.48 = 4,949.37 : x
  2. Step 2: Convert to fraction form
    15,477.61/23,221.48 = 4,949.37/x
  3. Step 3: Cross multiply
    15,477.61x = 23,221.48 × 4,949.37
  4. Step 4: Simplify right side
    15,477.61x = 114,931,580.36
  5. Step 5: Solve for x
    x = 114,931,580.36/15,477.61
  6. Step 6: Final answer
    x = 7,425.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.