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Finding the Fourth Proportional to 46,617, 69,924.42 and 11,556.96

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Solution

The fourth proportional to 46,617, 69,924.42 and 11,556.96 is: 17,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,617 : 69,924.42 = 11,556.96 : x
  2. Step 2: Convert to fraction form
    46,617/69,924.42 = 11,556.96/x
  3. Step 3: Cross multiply
    46,617x = 69,924.42 × 11,556.96
  4. Step 4: Simplify right side
    46,617x = 808,113,724.96
  5. Step 5: Solve for x
    x = 808,113,724.96/46,617
  6. Step 6: Final answer
    x = 17,335.17

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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.