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Finding the Fourth Proportional to 21,259.92, 31,880.16 and 7,405.68

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Solution

The fourth proportional to 21,259.92, 31,880.16 and 7,405.68 is: 11,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,259.92 : 31,880.16 = 7,405.68 : x
  2. Step 2: Convert to fraction form
    21,259.92/31,880.16 = 7,405.68/x
  3. Step 3: Cross multiply
    21,259.92x = 31,880.16 × 7,405.68
  4. Step 4: Simplify right side
    21,259.92x = 236,094,263.31
  5. Step 5: Solve for x
    x = 236,094,263.31/21,259.92
  6. Step 6: Final answer
    x = 11,105.13

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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.