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Finding the Fourth Proportional to 19,522.71, 29,288.70 and 6,375.06

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Solution

The fourth proportional to 19,522.71, 29,288.70 and 6,375.06 is: 9,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,522.71 : 29,288.70 = 6,375.06 : x
  2. Step 2: Convert to fraction form
    19,522.71/29,288.70 = 6,375.06/x
  3. Step 3: Cross multiply
    19,522.71x = 29,288.70 × 6,375.06
  4. Step 4: Simplify right side
    19,522.71x = 186,717,219.82
  5. Step 5: Solve for x
    x = 186,717,219.82/19,522.71
  6. Step 6: Final answer
    x = 9,564.10

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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.