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Finding the Fourth Proportional to 21,409.61, 32,100.71 and 10,294.16

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Solution

The fourth proportional to 21,409.61, 32,100.71 and 10,294.16 is: 15,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.61 : 32,100.71 = 10,294.16 : x
  2. Step 2: Convert to fraction form
    21,409.61/32,100.71 = 10,294.16/x
  3. Step 3: Cross multiply
    21,409.61x = 32,100.71 × 10,294.16
  4. Step 4: Simplify right side
    21,409.61x = 330,449,632.88
  5. Step 5: Solve for x
    x = 330,449,632.88/21,409.61
  6. Step 6: Final answer
    x = 15,434.64

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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.