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Finding the Fourth Proportional to 14,186, 19,577.04 and 7,898.24

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Solution

The fourth proportional to 14,186, 19,577.04 and 7,898.24 is: 10,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186 : 19,577.04 = 7,898.24 : x
  2. Step 2: Convert to fraction form
    14,186/19,577.04 = 7,898.24/x
  3. Step 3: Cross multiply
    14,186x = 19,577.04 × 7,898.24
  4. Step 4: Simplify right side
    14,186x = 154,624,160.41
  5. Step 5: Solve for x
    x = 154,624,160.41/14,186
  6. Step 6: Final answer
    x = 10,899.77

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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.