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Finding the Fourth Proportional to 14,034, 21,053.22 and 7,014.54

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Solution

The fourth proportional to 14,034, 21,053.22 and 7,014.54 is: 10,522.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034 : 21,053.22 = 7,014.54 : x
  2. Step 2: Convert to fraction form
    14,034/21,053.22 = 7,014.54/x
  3. Step 3: Cross multiply
    14,034x = 21,053.22 × 7,014.54
  4. Step 4: Simplify right side
    14,034x = 147,678,653.82
  5. Step 5: Solve for x
    x = 147,678,653.82/14,034
  6. Step 6: Final answer
    x = 10,522.92

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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.