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Finding the Fourth Proportional to 25,028, 34,539.72 and 13,850

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Solution

The fourth proportional to 25,028, 34,539.72 and 13,850 is: 19,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,028 : 34,539.72 = 13,850 : x
  2. Step 2: Convert to fraction form
    25,028/34,539.72 = 13,850/x
  3. Step 3: Cross multiply
    25,028x = 34,539.72 × 13,850
  4. Step 4: Simplify right side
    25,028x = 478,375,122
  5. Step 5: Solve for x
    x = 478,375,122/25,028
  6. Step 6: Final answer
    x = 19,113.60

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