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Finding the Fourth Proportional to 13,894.01, 20,848.58 and 7,646.21

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Solution

The fourth proportional to 13,894.01, 20,848.58 and 7,646.21 is: 11,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.01 : 20,848.58 = 7,646.21 : x
  2. Step 2: Convert to fraction form
    13,894.01/20,848.58 = 7,646.21/x
  3. Step 3: Cross multiply
    13,894.01x = 20,848.58 × 7,646.21
  4. Step 4: Simplify right side
    13,894.01x = 159,412,582.65
  5. Step 5: Solve for x
    x = 159,412,582.65/13,894.01
  6. Step 6: Final answer
    x = 11,473.48

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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.