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Finding the Fourth Proportional to 13,178.63, 19,772.01 and 5,281.13

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Solution

The fourth proportional to 13,178.63, 19,772.01 and 5,281.13 is: 7,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.63 : 19,772.01 = 5,281.13 : x
  2. Step 2: Convert to fraction form
    13,178.63/19,772.01 = 5,281.13/x
  3. Step 3: Cross multiply
    13,178.63x = 19,772.01 × 5,281.13
  4. Step 4: Simplify right side
    13,178.63x = 104,418,555.17
  5. Step 5: Solve for x
    x = 104,418,555.17/13,178.63
  6. Step 6: Final answer
    x = 7,923.32

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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.