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Finding the Fourth Proportional to 23,674.14, 35,506.17 and 7,029.66

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Solution

The fourth proportional to 23,674.14, 35,506.17 and 7,029.66 is: 10,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674.14 : 35,506.17 = 7,029.66 : x
  2. Step 2: Convert to fraction form
    23,674.14/35,506.17 = 7,029.66/x
  3. Step 3: Cross multiply
    23,674.14x = 35,506.17 × 7,029.66
  4. Step 4: Simplify right side
    23,674.14x = 249,596,303.00
  5. Step 5: Solve for x
    x = 249,596,303.00/23,674.14
  6. Step 6: Final answer
    x = 10,542.99

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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.