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Finding the Fourth Proportional to 17,962.83, 24,790.05 and 10,411.20

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Solution

The fourth proportional to 17,962.83, 24,790.05 and 10,411.20 is: 14,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,962.83 : 24,790.05 = 10,411.20 : x
  2. Step 2: Convert to fraction form
    17,962.83/24,790.05 = 10,411.20/x
  3. Step 3: Cross multiply
    17,962.83x = 24,790.05 × 10,411.20
  4. Step 4: Simplify right side
    17,962.83x = 258,094,168.56
  5. Step 5: Solve for x
    x = 258,094,168.56/17,962.83
  6. Step 6: Final answer
    x = 14,368.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.