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Finding the Fourth Proportional to 17,760, 24,508.80 and 10,308

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Solution

The fourth proportional to 17,760, 24,508.80 and 10,308 is: 14,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760 : 24,508.80 = 10,308 : x
  2. Step 2: Convert to fraction form
    17,760/24,508.80 = 10,308/x
  3. Step 3: Cross multiply
    17,760x = 24,508.80 × 10,308
  4. Step 4: Simplify right side
    17,760x = 252,636,710.40
  5. Step 5: Solve for x
    x = 252,636,710.40/17,760
  6. Step 6: Final answer
    x = 14,225.04

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Why These Related Problems?

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