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Finding the Fourth Proportional to 23,510.64, 35,264.24 and 11,033.50

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Solution

The fourth proportional to 23,510.64, 35,264.24 and 11,033.50 is: 16,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,510.64 : 35,264.24 = 11,033.50 : x
  2. Step 2: Convert to fraction form
    23,510.64/35,264.24 = 11,033.50/x
  3. Step 3: Cross multiply
    23,510.64x = 35,264.24 × 11,033.50
  4. Step 4: Simplify right side
    23,510.64x = 389,087,992.04
  5. Step 5: Solve for x
    x = 389,087,992.04/23,510.64
  6. Step 6: Final answer
    x = 16,549.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.