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Finding the Fourth Proportional to 16,435.30, 24,654.32 and 7,075.55

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Solution

The fourth proportional to 16,435.30, 24,654.32 and 7,075.55 is: 10,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.30 : 24,654.32 = 7,075.55 : x
  2. Step 2: Convert to fraction form
    16,435.30/24,654.32 = 7,075.55/x
  3. Step 3: Cross multiply
    16,435.30x = 24,654.32 × 7,075.55
  4. Step 4: Simplify right side
    16,435.30x = 174,442,715.23
  5. Step 5: Solve for x
    x = 174,442,715.23/16,435.30
  6. Step 6: Final answer
    x = 10,613.91

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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.