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Finding the Fourth Proportional to 21,005.16, 31,504.06 and 7,854.81

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Solution

The fourth proportional to 21,005.16, 31,504.06 and 7,854.81 is: 11,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.16 : 31,504.06 = 7,854.81 : x
  2. Step 2: Convert to fraction form
    21,005.16/31,504.06 = 7,854.81/x
  3. Step 3: Cross multiply
    21,005.16x = 31,504.06 × 7,854.81
  4. Step 4: Simplify right side
    21,005.16x = 247,458,405.53
  5. Step 5: Solve for x
    x = 247,458,405.53/21,005.16
  6. Step 6: Final answer
    x = 11,780.84

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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.