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Finding the Fourth Proportional to 17,680.64, 24,373.60 and 12,358.96

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Solution

The fourth proportional to 17,680.64, 24,373.60 and 12,358.96 is: 17,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.64 : 24,373.60 = 12,358.96 : x
  2. Step 2: Convert to fraction form
    17,680.64/24,373.60 = 12,358.96/x
  3. Step 3: Cross multiply
    17,680.64x = 24,373.60 × 12,358.96
  4. Step 4: Simplify right side
    17,680.64x = 301,232,347.46
  5. Step 5: Solve for x
    x = 301,232,347.46/17,680.64
  6. Step 6: Final answer
    x = 17,037.41

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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.