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Finding the Fourth Proportional to 25,516.16, 35,207.52 and 14,336

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Solution

The fourth proportional to 25,516.16, 35,207.52 and 14,336 is: 19,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,516.16 : 35,207.52 = 14,336 : x
  2. Step 2: Convert to fraction form
    25,516.16/35,207.52 = 14,336/x
  3. Step 3: Cross multiply
    25,516.16x = 35,207.52 × 14,336
  4. Step 4: Simplify right side
    25,516.16x = 504,735,006.72
  5. Step 5: Solve for x
    x = 504,735,006.72/25,516.16
  6. Step 6: Final answer
    x = 19,780.99

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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.