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Finding the Fourth Proportional to 21,056.74, 31,574.54 and 7,011.82

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Solution

The fourth proportional to 21,056.74, 31,574.54 and 7,011.82 is: 10,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,056.74 : 31,574.54 = 7,011.82 : x
  2. Step 2: Convert to fraction form
    21,056.74/31,574.54 = 7,011.82/x
  3. Step 3: Cross multiply
    21,056.74x = 31,574.54 × 7,011.82
  4. Step 4: Simplify right side
    21,056.74x = 221,394,991.06
  5. Step 5: Solve for x
    x = 221,394,991.06/21,056.74
  6. Step 6: Final answer
    x = 10,514.21

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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.