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Finding the Fourth Proportional to 20,715.60, 31,075.20 and 6,483.12

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Solution

The fourth proportional to 20,715.60, 31,075.20 and 6,483.12 is: 9,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.60 : 31,075.20 = 6,483.12 : x
  2. Step 2: Convert to fraction form
    20,715.60/31,075.20 = 6,483.12/x
  3. Step 3: Cross multiply
    20,715.60x = 31,075.20 × 6,483.12
  4. Step 4: Simplify right side
    20,715.60x = 201,464,250.62
  5. Step 5: Solve for x
    x = 201,464,250.62/20,715.60
  6. Step 6: Final answer
    x = 9,725.24

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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.