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Finding the Fourth Proportional to 25,507, 35,202.90 and 14,329

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Solution

The fourth proportional to 25,507, 35,202.90 and 14,329 is: 19,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,507 : 35,202.90 = 14,329 : x
  2. Step 2: Convert to fraction form
    25,507/35,202.90 = 14,329/x
  3. Step 3: Cross multiply
    25,507x = 35,202.90 × 14,329
  4. Step 4: Simplify right side
    25,507x = 504,422,354.10
  5. Step 5: Solve for x
    x = 504,422,354.10/25,507
  6. Step 6: Final answer
    x = 19,775.84

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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.