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Finding the Fourth Proportional to 16,303.64, 22,502.43 and 9,932.31

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Solution

The fourth proportional to 16,303.64, 22,502.43 and 9,932.31 is: 13,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.64 : 22,502.43 = 9,932.31 : x
  2. Step 2: Convert to fraction form
    16,303.64/22,502.43 = 9,932.31/x
  3. Step 3: Cross multiply
    16,303.64x = 22,502.43 × 9,932.31
  4. Step 4: Simplify right side
    16,303.64x = 223,501,110.51
  5. Step 5: Solve for x
    x = 223,501,110.51/16,303.64
  6. Step 6: Final answer
    x = 13,708.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.