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Finding the Fourth Proportional to 13,114.32, 19,671.12 and 3,253.40

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Solution

The fourth proportional to 13,114.32, 19,671.12 and 3,253.40 is: 4,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.32 : 19,671.12 = 3,253.40 : x
  2. Step 2: Convert to fraction form
    13,114.32/19,671.12 = 3,253.40/x
  3. Step 3: Cross multiply
    13,114.32x = 19,671.12 × 3,253.40
  4. Step 4: Simplify right side
    13,114.32x = 63,998,021.81
  5. Step 5: Solve for x
    x = 63,998,021.81/13,114.32
  6. Step 6: Final answer
    x = 4,880.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.