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Finding the Fourth Proportional to 18,490, 25,516.44 and 10,106.68

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Solution

The fourth proportional to 18,490, 25,516.44 and 10,106.68 is: 13,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,490 : 25,516.44 = 10,106.68 : x
  2. Step 2: Convert to fraction form
    18,490/25,516.44 = 10,106.68/x
  3. Step 3: Cross multiply
    18,490x = 25,516.44 × 10,106.68
  4. Step 4: Simplify right side
    18,490x = 257,886,493.82
  5. Step 5: Solve for x
    x = 257,886,493.82/18,490
  6. Step 6: Final answer
    x = 13,947.35

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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.