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Finding the Fourth Proportional to 25,597.72, 35,323.38 and 14,266.84

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Solution

The fourth proportional to 25,597.72, 35,323.38 and 14,266.84 is: 19,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597.72 : 35,323.38 = 14,266.84 : x
  2. Step 2: Convert to fraction form
    25,597.72/35,323.38 = 14,266.84/x
  3. Step 3: Cross multiply
    25,597.72x = 35,323.38 × 14,266.84
  4. Step 4: Simplify right side
    25,597.72x = 503,953,010.72
  5. Step 5: Solve for x
    x = 503,953,010.72/25,597.72
  6. Step 6: Final answer
    x = 19,687.42

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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.