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Finding the Fourth Proportional to 13,958.64, 19,263.05 and 7,585.24

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Solution

The fourth proportional to 13,958.64, 19,263.05 and 7,585.24 is: 10,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.64 : 19,263.05 = 7,585.24 : x
  2. Step 2: Convert to fraction form
    13,958.64/19,263.05 = 7,585.24/x
  3. Step 3: Cross multiply
    13,958.64x = 19,263.05 × 7,585.24
  4. Step 4: Simplify right side
    13,958.64x = 146,114,761.07
  5. Step 5: Solve for x
    x = 146,114,761.07/13,958.64
  6. Step 6: Final answer
    x = 10,467.69

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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.