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Finding the Fourth Proportional to 14,595.96, 21,894.49 and 5,106.43

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Solution

The fourth proportional to 14,595.96, 21,894.49 and 5,106.43 is: 7,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595.96 : 21,894.49 = 5,106.43 : x
  2. Step 2: Convert to fraction form
    14,595.96/21,894.49 = 5,106.43/x
  3. Step 3: Cross multiply
    14,595.96x = 21,894.49 × 5,106.43
  4. Step 4: Simplify right side
    14,595.96x = 111,802,714.32
  5. Step 5: Solve for x
    x = 111,802,714.32/14,595.96
  6. Step 6: Final answer
    x = 7,659.84

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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.