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Finding the Fourth Proportional to 21,240.30, 31,864.46 and 7,009.60

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Solution

The fourth proportional to 21,240.30, 31,864.46 and 7,009.60 is: 10,515.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,240.30 : 31,864.46 = 7,009.60 : x
  2. Step 2: Convert to fraction form
    21,240.30/31,864.46 = 7,009.60/x
  3. Step 3: Cross multiply
    21,240.30x = 31,864.46 × 7,009.60
  4. Step 4: Simplify right side
    21,240.30x = 223,357,118.82
  5. Step 5: Solve for x
    x = 223,357,118.82/21,240.30
  6. Step 6: Final answer
    x = 10,515.72

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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.