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Finding the Fourth Proportional to 20,978.37, 28,950.35 and 11,547

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Solution

The fourth proportional to 20,978.37, 28,950.35 and 11,547 is: 15,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.37 : 28,950.35 = 11,547 : x
  2. Step 2: Convert to fraction form
    20,978.37/28,950.35 = 11,547/x
  3. Step 3: Cross multiply
    20,978.37x = 28,950.35 × 11,547
  4. Step 4: Simplify right side
    20,978.37x = 334,289,633.72
  5. Step 5: Solve for x
    x = 334,289,633.72/20,978.37
  6. Step 6: Final answer
    x = 15,934.97

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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.