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Finding the Fourth Proportional to 22,430.10, 33,643.93 and 6,846.50

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Solution

The fourth proportional to 22,430.10, 33,643.93 and 6,846.50 is: 10,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.10 : 33,643.93 = 6,846.50 : x
  2. Step 2: Convert to fraction form
    22,430.10/33,643.93 = 6,846.50/x
  3. Step 3: Cross multiply
    22,430.10x = 33,643.93 × 6,846.50
  4. Step 4: Simplify right side
    22,430.10x = 230,343,166.75
  5. Step 5: Solve for x
    x = 230,343,166.75/22,430.10
  6. Step 6: Final answer
    x = 10,269.38

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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.