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Finding the Fourth Proportional to 25,075, 34,604.58 and 13,897

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Solution

The fourth proportional to 25,075, 34,604.58 and 13,897 is: 19,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,075 : 34,604.58 = 13,897 : x
  2. Step 2: Convert to fraction form
    25,075/34,604.58 = 13,897/x
  3. Step 3: Cross multiply
    25,075x = 34,604.58 × 13,897
  4. Step 4: Simplify right side
    25,075x = 480,899,848.26
  5. Step 5: Solve for x
    x = 480,899,848.26/25,075
  6. Step 6: Final answer
    x = 19,178.46

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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.