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Finding the Fourth Proportional to 14,123.39, 19,484.12 and 8,744.40

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Solution

The fourth proportional to 14,123.39, 19,484.12 and 8,744.40 is: 12,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.39 : 19,484.12 = 8,744.40 : x
  2. Step 2: Convert to fraction form
    14,123.39/19,484.12 = 8,744.40/x
  3. Step 3: Cross multiply
    14,123.39x = 19,484.12 × 8,744.40
  4. Step 4: Simplify right side
    14,123.39x = 170,376,841.51
  5. Step 5: Solve for x
    x = 170,376,841.51/14,123.39
  6. Step 6: Final answer
    x = 12,063.45

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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.