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Finding the Fourth Proportional to 15,321, 22,981.50 and 4,227.78

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Solution

The fourth proportional to 15,321, 22,981.50 and 4,227.78 is: 6,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,321 : 22,981.50 = 4,227.78 : x
  2. Step 2: Convert to fraction form
    15,321/22,981.50 = 4,227.78/x
  3. Step 3: Cross multiply
    15,321x = 22,981.50 × 4,227.78
  4. Step 4: Simplify right side
    15,321x = 97,160,726.07
  5. Step 5: Solve for x
    x = 97,160,726.07/15,321
  6. Step 6: Final answer
    x = 6,341.67

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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.