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Finding the Fourth Proportional to 19,123.74, 28,624.19 and 10,216.80

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Solution

The fourth proportional to 19,123.74, 28,624.19 and 10,216.80 is: 15,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,123.74 : 28,624.19 = 10,216.80 : x
  2. Step 2: Convert to fraction form
    19,123.74/28,624.19 = 10,216.80/x
  3. Step 3: Cross multiply
    19,123.74x = 28,624.19 × 10,216.80
  4. Step 4: Simplify right side
    19,123.74x = 292,447,573.31
  5. Step 5: Solve for x
    x = 292,447,573.31/19,123.74
  6. Step 6: Final answer
    x = 15,292.38

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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.