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Finding the Fourth Proportional to 20,978.83, 28,951.24 and 11,547.39

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Solution

The fourth proportional to 20,978.83, 28,951.24 and 11,547.39 is: 15,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.83 : 28,951.24 = 11,547.39 : x
  2. Step 2: Convert to fraction form
    20,978.83/28,951.24 = 11,547.39/x
  3. Step 3: Cross multiply
    20,978.83x = 28,951.24 × 11,547.39
  4. Step 4: Simplify right side
    20,978.83x = 334,311,230.40
  5. Step 5: Solve for x
    x = 334,311,230.40/20,978.83
  6. Step 6: Final answer
    x = 15,935.65

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