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Finding the Fourth Proportional to 23,740, 32,764.08 and 13,804

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Solution

The fourth proportional to 23,740, 32,764.08 and 13,804 is: 19,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,740 : 32,764.08 = 13,804 : x
  2. Step 2: Convert to fraction form
    23,740/32,764.08 = 13,804/x
  3. Step 3: Cross multiply
    23,740x = 32,764.08 × 13,804
  4. Step 4: Simplify right side
    23,740x = 452,275,360.32
  5. Step 5: Solve for x
    x = 452,275,360.32/23,740
  6. Step 6: Final answer
    x = 19,051.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.