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Finding the Fourth Proportional to 14,073, 19,421.10 and 8,484.36

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Solution

The fourth proportional to 14,073, 19,421.10 and 8,484.36 is: 11,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073 : 19,421.10 = 8,484.36 : x
  2. Step 2: Convert to fraction form
    14,073/19,421.10 = 8,484.36/x
  3. Step 3: Cross multiply
    14,073x = 19,421.10 × 8,484.36
  4. Step 4: Simplify right side
    14,073x = 164,775,604.00
  5. Step 5: Solve for x
    x = 164,775,604.00/14,073
  6. Step 6: Final answer
    x = 11,708.63

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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.