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Finding the Fourth Proportional to 21,465.10, 32,206.92 and 10,380.15

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Solution

The fourth proportional to 21,465.10, 32,206.92 and 10,380.15 is: 15,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465.10 : 32,206.92 = 10,380.15 : x
  2. Step 2: Convert to fraction form
    21,465.10/32,206.92 = 10,380.15/x
  3. Step 3: Cross multiply
    21,465.10x = 32,206.92 × 10,380.15
  4. Step 4: Simplify right side
    21,465.10x = 334,312,621.71
  5. Step 5: Solve for x
    x = 334,312,621.71/21,465.10
  6. Step 6: Final answer
    x = 15,574.71

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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.