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Finding the Fourth Proportional to 28,006.74, 38,649.06 and 15,431.40

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Solution

The fourth proportional to 28,006.74, 38,649.06 and 15,431.40 is: 21,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,006.74 : 38,649.06 = 15,431.40 : x
  2. Step 2: Convert to fraction form
    28,006.74/38,649.06 = 15,431.40/x
  3. Step 3: Cross multiply
    28,006.74x = 38,649.06 × 15,431.40
  4. Step 4: Simplify right side
    28,006.74x = 596,409,104.48
  5. Step 5: Solve for x
    x = 596,409,104.48/28,006.74
  6. Step 6: Final answer
    x = 21,295.20

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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.