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Finding the Fourth Proportional to 16,259, 24,390.66 and 7,027.16

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Solution

The fourth proportional to 16,259, 24,390.66 and 7,027.16 is: 10,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259 : 24,390.66 = 7,027.16 : x
  2. Step 2: Convert to fraction form
    16,259/24,390.66 = 7,027.16/x
  3. Step 3: Cross multiply
    16,259x = 24,390.66 × 7,027.16
  4. Step 4: Simplify right side
    16,259x = 171,397,070.33
  5. Step 5: Solve for x
    x = 171,397,070.33/16,259
  6. Step 6: Final answer
    x = 10,541.67

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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.