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Finding the Fourth Proportional to 25,830.16, 38,741.08 and 7,357.84

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Solution

The fourth proportional to 25,830.16, 38,741.08 and 7,357.84 is: 11,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.16 : 38,741.08 = 7,357.84 : x
  2. Step 2: Convert to fraction form
    25,830.16/38,741.08 = 7,357.84/x
  3. Step 3: Cross multiply
    25,830.16x = 38,741.08 × 7,357.84
  4. Step 4: Simplify right side
    25,830.16x = 285,050,668.07
  5. Step 5: Solve for x
    x = 285,050,668.07/25,830.16
  6. Step 6: Final answer
    x = 11,035.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.