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Finding the Fourth Proportional to 25,026, 34,536.96 and 13,848

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Solution

The fourth proportional to 25,026, 34,536.96 and 13,848 is: 19,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,026 : 34,536.96 = 13,848 : x
  2. Step 2: Convert to fraction form
    25,026/34,536.96 = 13,848/x
  3. Step 3: Cross multiply
    25,026x = 34,536.96 × 13,848
  4. Step 4: Simplify right side
    25,026x = 478,267,822.08
  5. Step 5: Solve for x
    x = 478,267,822.08/25,026
  6. Step 6: Final answer
    x = 19,110.84

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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.