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Finding the Fourth Proportional to 25,602, 35,330.76 and 13,826

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Solution

The fourth proportional to 25,602, 35,330.76 and 13,826 is: 19,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602 : 35,330.76 = 13,826 : x
  2. Step 2: Convert to fraction form
    25,602/35,330.76 = 13,826/x
  3. Step 3: Cross multiply
    25,602x = 35,330.76 × 13,826
  4. Step 4: Simplify right side
    25,602x = 488,483,087.76
  5. Step 5: Solve for x
    x = 488,483,087.76/25,602
  6. Step 6: Final answer
    x = 19,079.88

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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.