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Finding the Fourth Proportional to 21,405.84, 32,095.08 and 10,290.41

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Solution

The fourth proportional to 21,405.84, 32,095.08 and 10,290.41 is: 15,429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.84 : 32,095.08 = 10,290.41 : x
  2. Step 2: Convert to fraction form
    21,405.84/32,095.08 = 10,290.41/x
  3. Step 3: Cross multiply
    21,405.84x = 32,095.08 × 10,290.41
  4. Step 4: Simplify right side
    21,405.84x = 330,271,371.71
  5. Step 5: Solve for x
    x = 330,271,371.71/21,405.84
  6. Step 6: Final answer
    x = 15,429.03

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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.