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Finding the Fourth Proportional to 21,004.16, 31,502.57 and 7,853.81

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Solution

The fourth proportional to 21,004.16, 31,502.57 and 7,853.81 is: 11,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.16 : 31,502.57 = 7,853.81 : x
  2. Step 2: Convert to fraction form
    21,004.16/31,502.57 = 7,853.81/x
  3. Step 3: Cross multiply
    21,004.16x = 31,502.57 × 7,853.81
  4. Step 4: Simplify right side
    21,004.16x = 247,415,002.51
  5. Step 5: Solve for x
    x = 247,415,002.51/21,004.16
  6. Step 6: Final answer
    x = 11,779.34

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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.