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Finding the Fourth Proportional to 21,308.70, 31,963.05 and 7,459.10

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Solution

The fourth proportional to 21,308.70, 31,963.05 and 7,459.10 is: 11,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.70 : 31,963.05 = 7,459.10 : x
  2. Step 2: Convert to fraction form
    21,308.70/31,963.05 = 7,459.10/x
  3. Step 3: Cross multiply
    21,308.70x = 31,963.05 × 7,459.10
  4. Step 4: Simplify right side
    21,308.70x = 238,415,586.26
  5. Step 5: Solve for x
    x = 238,415,586.26/21,308.70
  6. Step 6: Final answer
    x = 11,188.65

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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.