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Finding the Fourth Proportional to 21,907.24, 30,235.46 and 13,953

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Solution

The fourth proportional to 21,907.24, 30,235.46 and 13,953 is: 19,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.24 : 30,235.46 = 13,953 : x
  2. Step 2: Convert to fraction form
    21,907.24/30,235.46 = 13,953/x
  3. Step 3: Cross multiply
    21,907.24x = 30,235.46 × 13,953
  4. Step 4: Simplify right side
    21,907.24x = 421,875,373.38
  5. Step 5: Solve for x
    x = 421,875,373.38/21,907.24
  6. Step 6: Final answer
    x = 19,257.35

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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.