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Finding the Fourth Proportional to 28,131.20, 38,813.28 and 19,624.16

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Solution

The fourth proportional to 28,131.20, 38,813.28 and 19,624.16 is: 27,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,131.20 : 38,813.28 = 19,624.16 : x
  2. Step 2: Convert to fraction form
    28,131.20/38,813.28 = 19,624.16/x
  3. Step 3: Cross multiply
    28,131.20x = 38,813.28 × 19,624.16
  4. Step 4: Simplify right side
    28,131.20x = 761,678,016.84
  5. Step 5: Solve for x
    x = 761,678,016.84/28,131.20
  6. Step 6: Final answer
    x = 27,075.92

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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.