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Finding the Fourth Proportional to 12,984.84, 17,916.19 and 7,948.67

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Solution

The fourth proportional to 12,984.84, 17,916.19 and 7,948.67 is: 10,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.84 : 17,916.19 = 7,948.67 : x
  2. Step 2: Convert to fraction form
    12,984.84/17,916.19 = 7,948.67/x
  3. Step 3: Cross multiply
    12,984.84x = 17,916.19 × 7,948.67
  4. Step 4: Simplify right side
    12,984.84x = 142,409,772.51
  5. Step 5: Solve for x
    x = 142,409,772.51/12,984.84
  6. Step 6: Final answer
    x = 10,967.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.