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Finding the Fourth Proportional to 21,057.14, 31,586.93 and 7,909.63

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Solution

The fourth proportional to 21,057.14, 31,586.93 and 7,909.63 is: 11,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.14 : 31,586.93 = 7,909.63 : x
  2. Step 2: Convert to fraction form
    21,057.14/31,586.93 = 7,909.63/x
  3. Step 3: Cross multiply
    21,057.14x = 31,586.93 × 7,909.63
  4. Step 4: Simplify right side
    21,057.14x = 249,840,840.28
  5. Step 5: Solve for x
    x = 249,840,840.28/21,057.14
  6. Step 6: Final answer
    x = 11,864.90

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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.