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Finding the Fourth Proportional to 19,221.70, 28,830.14 and 5,182.82

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Solution

The fourth proportional to 19,221.70, 28,830.14 and 5,182.82 is: 7,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,221.70 : 28,830.14 = 5,182.82 : x
  2. Step 2: Convert to fraction form
    19,221.70/28,830.14 = 5,182.82/x
  3. Step 3: Cross multiply
    19,221.70x = 28,830.14 × 5,182.82
  4. Step 4: Simplify right side
    19,221.70x = 149,421,426.19
  5. Step 5: Solve for x
    x = 149,421,426.19/19,221.70
  6. Step 6: Final answer
    x = 7,773.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.