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Finding the Fourth Proportional to 14,011.10, 21,018.54 and 4,647.86

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Solution

The fourth proportional to 14,011.10, 21,018.54 and 4,647.86 is: 6,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.10 : 21,018.54 = 4,647.86 : x
  2. Step 2: Convert to fraction form
    14,011.10/21,018.54 = 4,647.86/x
  3. Step 3: Cross multiply
    14,011.10x = 21,018.54 × 4,647.86
  4. Step 4: Simplify right side
    14,011.10x = 97,691,231.32
  5. Step 5: Solve for x
    x = 97,691,231.32/14,011.10
  6. Step 6: Final answer
    x = 6,972.42

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