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Finding the Fourth Proportional to 20,316, 28,035.32 and 11,364.33

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Solution

The fourth proportional to 20,316, 28,035.32 and 11,364.33 is: 15,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,316 : 28,035.32 = 11,364.33 : x
  2. Step 2: Convert to fraction form
    20,316/28,035.32 = 11,364.33/x
  3. Step 3: Cross multiply
    20,316x = 28,035.32 × 11,364.33
  4. Step 4: Simplify right side
    20,316x = 318,602,571.31
  5. Step 5: Solve for x
    x = 318,602,571.31/20,316
  6. Step 6: Final answer
    x = 15,682.35

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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.