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Finding the Fourth Proportional to 21,894.69, 32,825.64 and 11,360.64

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Solution

The fourth proportional to 21,894.69, 32,825.64 and 11,360.64 is: 17,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.69 : 32,825.64 = 11,360.64 : x
  2. Step 2: Convert to fraction form
    21,894.69/32,825.64 = 11,360.64/x
  3. Step 3: Cross multiply
    21,894.69x = 32,825.64 × 11,360.64
  4. Step 4: Simplify right side
    21,894.69x = 372,920,278.81
  5. Step 5: Solve for x
    x = 372,920,278.81/21,894.69
  6. Step 6: Final answer
    x = 17,032.45

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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.