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Finding the Fourth Proportional to 25,670.51, 38,507.15 and 8,141.71

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Solution

The fourth proportional to 25,670.51, 38,507.15 and 8,141.71 is: 12,213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670.51 : 38,507.15 = 8,141.71 : x
  2. Step 2: Convert to fraction form
    25,670.51/38,507.15 = 8,141.71/x
  3. Step 3: Cross multiply
    25,670.51x = 38,507.15 × 8,141.71
  4. Step 4: Simplify right side
    25,670.51x = 313,513,911.25
  5. Step 5: Solve for x
    x = 313,513,911.25/25,670.51
  6. Step 6: Final answer
    x = 12,213.00

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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.