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Finding the Fourth Proportional to 17,648.64, 24,341.76 and 12,341.76

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Solution

The fourth proportional to 17,648.64, 24,341.76 and 12,341.76 is: 17,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.64 : 24,341.76 = 12,341.76 : x
  2. Step 2: Convert to fraction form
    17,648.64/24,341.76 = 12,341.76/x
  3. Step 3: Cross multiply
    17,648.64x = 24,341.76 × 12,341.76
  4. Step 4: Simplify right side
    17,648.64x = 300,420,159.90
  5. Step 5: Solve for x
    x = 300,420,159.90/17,648.64
  6. Step 6: Final answer
    x = 17,022.28

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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.