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Finding the Fourth Proportional to 20,075.96, 30,097.52 and 7,588.92

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Solution

The fourth proportional to 20,075.96, 30,097.52 and 7,588.92 is: 11,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.96 : 30,097.52 = 7,588.92 : x
  2. Step 2: Convert to fraction form
    20,075.96/30,097.52 = 7,588.92/x
  3. Step 3: Cross multiply
    20,075.96x = 30,097.52 × 7,588.92
  4. Step 4: Simplify right side
    20,075.96x = 228,407,671.48
  5. Step 5: Solve for x
    x = 228,407,671.48/20,075.96
  6. Step 6: Final answer
    x = 11,377.17

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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.