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Finding the Fourth Proportional to 14,947, 20,628.84 and 9,657.19

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Solution

The fourth proportional to 14,947, 20,628.84 and 9,657.19 is: 13,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947 : 20,628.84 = 9,657.19 : x
  2. Step 2: Convert to fraction form
    14,947/20,628.84 = 9,657.19/x
  3. Step 3: Cross multiply
    14,947x = 20,628.84 × 9,657.19
  4. Step 4: Simplify right side
    14,947x = 199,216,627.36
  5. Step 5: Solve for x
    x = 199,216,627.36/14,947
  6. Step 6: Final answer
    x = 13,328.20

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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.