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Finding the Fourth Proportional to 20,075.16, 30,116.78 and 6,928.04

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Solution

The fourth proportional to 20,075.16, 30,116.78 and 6,928.04 is: 10,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.16 : 30,116.78 = 6,928.04 : x
  2. Step 2: Convert to fraction form
    20,075.16/30,116.78 = 6,928.04/x
  3. Step 3: Cross multiply
    20,075.16x = 30,116.78 × 6,928.04
  4. Step 4: Simplify right side
    20,075.16x = 208,650,256.51
  5. Step 5: Solve for x
    x = 208,650,256.51/20,075.16
  6. Step 6: Final answer
    x = 10,393.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.