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Finding the Fourth Proportional to 15,627, 23,440.50 and 4,683

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Solution

The fourth proportional to 15,627, 23,440.50 and 4,683 is: 7,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,627 : 23,440.50 = 4,683 : x
  2. Step 2: Convert to fraction form
    15,627/23,440.50 = 4,683/x
  3. Step 3: Cross multiply
    15,627x = 23,440.50 × 4,683
  4. Step 4: Simplify right side
    15,627x = 109,771,861.50
  5. Step 5: Solve for x
    x = 109,771,861.50/15,627
  6. Step 6: Final answer
    x = 7,024.50

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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.