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Finding the Fourth Proportional to 17,507, 24,152.46 and 11,541.44

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Solution

The fourth proportional to 17,507, 24,152.46 and 11,541.44 is: 15,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507 : 24,152.46 = 11,541.44 : x
  2. Step 2: Convert to fraction form
    17,507/24,152.46 = 11,541.44/x
  3. Step 3: Cross multiply
    17,507x = 24,152.46 × 11,541.44
  4. Step 4: Simplify right side
    17,507x = 278,754,167.94
  5. Step 5: Solve for x
    x = 278,754,167.94/17,507
  6. Step 6: Final answer
    x = 15,922.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.