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Finding the Fourth Proportional to 19,756.50, 29,634.75 and 5,164.50

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Solution

The fourth proportional to 19,756.50, 29,634.75 and 5,164.50 is: 7,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,756.50 : 29,634.75 = 5,164.50 : x
  2. Step 2: Convert to fraction form
    19,756.50/29,634.75 = 5,164.50/x
  3. Step 3: Cross multiply
    19,756.50x = 29,634.75 × 5,164.50
  4. Step 4: Simplify right side
    19,756.50x = 153,048,666.38
  5. Step 5: Solve for x
    x = 153,048,666.38/19,756.50
  6. Step 6: Final answer
    x = 7,746.75

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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.