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Finding the Fourth Proportional to 22,152, 30,570.27 and 12,590.38

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Solution

The fourth proportional to 22,152, 30,570.27 and 12,590.38 is: 17,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,152 : 30,570.27 = 12,590.38 : x
  2. Step 2: Convert to fraction form
    22,152/30,570.27 = 12,590.38/x
  3. Step 3: Cross multiply
    22,152x = 30,570.27 × 12,590.38
  4. Step 4: Simplify right side
    22,152x = 384,891,316.00
  5. Step 5: Solve for x
    x = 384,891,316.00/22,152
  6. Step 6: Final answer
    x = 17,375.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.