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Finding the Fourth Proportional to 25,678.55, 35,417.44 and 16,238

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Solution

The fourth proportional to 25,678.55, 35,417.44 and 16,238 is: 22,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678.55 : 35,417.44 = 16,238 : x
  2. Step 2: Convert to fraction form
    25,678.55/35,417.44 = 16,238/x
  3. Step 3: Cross multiply
    25,678.55x = 35,417.44 × 16,238
  4. Step 4: Simplify right side
    25,678.55x = 575,108,390.72
  5. Step 5: Solve for x
    x = 575,108,390.72/25,678.55
  6. Step 6: Final answer
    x = 22,396.45

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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.