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Finding the Fourth Proportional to 23,674.97, 35,506.31 and 7,031.22

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Solution

The fourth proportional to 23,674.97, 35,506.31 and 7,031.22 is: 10,545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674.97 : 35,506.31 = 7,031.22 : x
  2. Step 2: Convert to fraction form
    23,674.97/35,506.31 = 7,031.22/x
  3. Step 3: Cross multiply
    23,674.97x = 35,506.31 × 7,031.22
  4. Step 4: Simplify right side
    23,674.97x = 249,652,641.84
  5. Step 5: Solve for x
    x = 249,652,641.84/23,674.97
  6. Step 6: Final answer
    x = 10,545.01

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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.