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Finding the Fourth Proportional to 17,238.35, 25,852.53 and 7,873.40

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Solution

The fourth proportional to 17,238.35, 25,852.53 and 7,873.40 is: 11,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.35 : 25,852.53 = 7,873.40 : x
  2. Step 2: Convert to fraction form
    17,238.35/25,852.53 = 7,873.40/x
  3. Step 3: Cross multiply
    17,238.35x = 25,852.53 × 7,873.40
  4. Step 4: Simplify right side
    17,238.35x = 203,547,403.86
  5. Step 5: Solve for x
    x = 203,547,403.86/17,238.35
  6. Step 6: Final answer
    x = 11,807.82

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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.