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Finding the Fourth Proportional to 14,562, 20,088.36 and 9,181.98

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Solution

The fourth proportional to 14,562, 20,088.36 and 9,181.98 is: 12,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562 : 20,088.36 = 9,181.98 : x
  2. Step 2: Convert to fraction form
    14,562/20,088.36 = 9,181.98/x
  3. Step 3: Cross multiply
    14,562x = 20,088.36 × 9,181.98
  4. Step 4: Simplify right side
    14,562x = 184,450,919.75
  5. Step 5: Solve for x
    x = 184,450,919.75/14,562
  6. Step 6: Final answer
    x = 12,666.59

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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.