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Finding the Fourth Proportional to 20,075.40, 30,118.58 and 6,929.71

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Solution

The fourth proportional to 20,075.40, 30,118.58 and 6,929.71 is: 10,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.40 : 30,118.58 = 6,929.71 : x
  2. Step 2: Convert to fraction form
    20,075.40/30,118.58 = 6,929.71/x
  3. Step 3: Cross multiply
    20,075.40x = 30,118.58 × 6,929.71
  4. Step 4: Simplify right side
    20,075.40x = 208,712,941.05
  5. Step 5: Solve for x
    x = 208,712,941.05/20,075.40
  6. Step 6: Final answer
    x = 10,396.45

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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.