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Finding the Fourth Proportional to 12,038.40, 16,617.60 and 7,322.40

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Solution

The fourth proportional to 12,038.40, 16,617.60 and 7,322.40 is: 10,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.40 : 16,617.60 = 7,322.40 : x
  2. Step 2: Convert to fraction form
    12,038.40/16,617.60 = 7,322.40/x
  3. Step 3: Cross multiply
    12,038.40x = 16,617.60 × 7,322.40
  4. Step 4: Simplify right side
    12,038.40x = 121,680,714.24
  5. Step 5: Solve for x
    x = 121,680,714.24/12,038.40
  6. Step 6: Final answer
    x = 10,107.71

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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.