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Finding the Fourth Proportional to 22,581, 31,162.86 and 13,628.34

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Solution

The fourth proportional to 22,581, 31,162.86 and 13,628.34 is: 18,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581 : 31,162.86 = 13,628.34 : x
  2. Step 2: Convert to fraction form
    22,581/31,162.86 = 13,628.34/x
  3. Step 3: Cross multiply
    22,581x = 31,162.86 × 13,628.34
  4. Step 4: Simplify right side
    22,581x = 424,698,051.45
  5. Step 5: Solve for x
    x = 424,698,051.45/22,581
  6. Step 6: Final answer
    x = 18,807.76

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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.