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Finding the Fourth Proportional to 19,316.50, 28,967.19 and 8,228.26

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Solution

The fourth proportional to 19,316.50, 28,967.19 and 8,228.26 is: 12,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,316.50 : 28,967.19 = 8,228.26 : x
  2. Step 2: Convert to fraction form
    19,316.50/28,967.19 = 8,228.26/x
  3. Step 3: Cross multiply
    19,316.50x = 28,967.19 × 8,228.26
  4. Step 4: Simplify right side
    19,316.50x = 238,349,570.79
  5. Step 5: Solve for x
    x = 238,349,570.79/19,316.50
  6. Step 6: Final answer
    x = 12,339.17

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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.