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Finding the Fourth Proportional to 28,005.78, 38,647.14 and 15,430.56

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Solution

The fourth proportional to 28,005.78, 38,647.14 and 15,430.56 is: 21,293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,005.78 : 38,647.14 = 15,430.56 : x
  2. Step 2: Convert to fraction form
    28,005.78/38,647.14 = 15,430.56/x
  3. Step 3: Cross multiply
    28,005.78x = 38,647.14 × 15,430.56
  4. Step 4: Simplify right side
    28,005.78x = 596,347,012.60
  5. Step 5: Solve for x
    x = 596,347,012.60/28,005.78
  6. Step 6: Final answer
    x = 21,293.71

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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.