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Finding the Fourth Proportional to 25,585.38, 35,307.69 and 14,255.01

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Solution

The fourth proportional to 25,585.38, 35,307.69 and 14,255.01 is: 19,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,585.38 : 35,307.69 = 14,255.01 : x
  2. Step 2: Convert to fraction form
    25,585.38/35,307.69 = 14,255.01/x
  3. Step 3: Cross multiply
    25,585.38x = 35,307.69 × 14,255.01
  4. Step 4: Simplify right side
    25,585.38x = 503,311,474.03
  5. Step 5: Solve for x
    x = 503,311,474.03/25,585.38
  6. Step 6: Final answer
    x = 19,671.84

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Why These Related Problems?

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