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Finding the Fourth Proportional to 19,019, 28,518.06 and 6,532.04

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Solution

The fourth proportional to 19,019, 28,518.06 and 6,532.04 is: 9,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,019 : 28,518.06 = 6,532.04 : x
  2. Step 2: Convert to fraction form
    19,019/28,518.06 = 6,532.04/x
  3. Step 3: Cross multiply
    19,019x = 28,518.06 × 6,532.04
  4. Step 4: Simplify right side
    19,019x = 186,281,108.64
  5. Step 5: Solve for x
    x = 186,281,108.64/19,019
  6. Step 6: Final answer
    x = 9,794.47

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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.