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Finding the Fourth Proportional to 13,865.33, 19,134.16 and 7,577.71

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Solution

The fourth proportional to 13,865.33, 19,134.16 and 7,577.71 is: 10,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.33 : 19,134.16 = 7,577.71 : x
  2. Step 2: Convert to fraction form
    13,865.33/19,134.16 = 7,577.71/x
  3. Step 3: Cross multiply
    13,865.33x = 19,134.16 × 7,577.71
  4. Step 4: Simplify right side
    13,865.33x = 144,993,055.90
  5. Step 5: Solve for x
    x = 144,993,055.90/13,865.33
  6. Step 6: Final answer
    x = 10,457.24

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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.