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Finding the Fourth Proportional to 28,075, 38,743.54 and 15,499.72

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Solution

The fourth proportional to 28,075, 38,743.54 and 15,499.72 is: 21,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,075 : 38,743.54 = 15,499.72 : x
  2. Step 2: Convert to fraction form
    28,075/38,743.54 = 15,499.72/x
  3. Step 3: Cross multiply
    28,075x = 38,743.54 × 15,499.72
  4. Step 4: Simplify right side
    28,075x = 600,514,021.81
  5. Step 5: Solve for x
    x = 600,514,021.81/28,075
  6. Step 6: Final answer
    x = 21,389.64

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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.