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Finding the Fourth Proportional to 14,970.68, 20,660.23 and 8,256.39

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Solution

The fourth proportional to 14,970.68, 20,660.23 and 8,256.39 is: 11,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.68 : 20,660.23 = 8,256.39 : x
  2. Step 2: Convert to fraction form
    14,970.68/20,660.23 = 8,256.39/x
  3. Step 3: Cross multiply
    14,970.68x = 20,660.23 × 8,256.39
  4. Step 4: Simplify right side
    14,970.68x = 170,578,916.37
  5. Step 5: Solve for x
    x = 170,578,916.37/14,970.68
  6. Step 6: Final answer
    x = 11,394.20

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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.