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Finding the Fourth Proportional to 14,178, 21,267.18 and 4,944

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Solution

The fourth proportional to 14,178, 21,267.18 and 4,944 is: 7,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178 : 21,267.18 = 4,944 : x
  2. Step 2: Convert to fraction form
    14,178/21,267.18 = 4,944/x
  3. Step 3: Cross multiply
    14,178x = 21,267.18 × 4,944
  4. Step 4: Simplify right side
    14,178x = 105,144,937.92
  5. Step 5: Solve for x
    x = 105,144,937.92/14,178
  6. Step 6: Final answer
    x = 7,416.06

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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.