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Finding the Fourth Proportional to 28,651.72, 39,538.74 and 15,904.16

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Solution

The fourth proportional to 28,651.72, 39,538.74 and 15,904.16 is: 21,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,651.72 : 39,538.74 = 15,904.16 : x
  2. Step 2: Convert to fraction form
    28,651.72/39,538.74 = 15,904.16/x
  3. Step 3: Cross multiply
    28,651.72x = 39,538.74 × 15,904.16
  4. Step 4: Simplify right side
    28,651.72x = 628,830,447.16
  5. Step 5: Solve for x
    x = 628,830,447.16/28,651.72
  6. Step 6: Final answer
    x = 21,947.39

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Why These Related Problems?

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