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Finding the Fourth Proportional to 23,752, 32,776.38 and 13,141

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Solution

The fourth proportional to 23,752, 32,776.38 and 13,141 is: 18,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752 : 32,776.38 = 13,141 : x
  2. Step 2: Convert to fraction form
    23,752/32,776.38 = 13,141/x
  3. Step 3: Cross multiply
    23,752x = 32,776.38 × 13,141
  4. Step 4: Simplify right side
    23,752x = 430,714,409.58
  5. Step 5: Solve for x
    x = 430,714,409.58/23,752
  6. Step 6: Final answer
    x = 18,133.82

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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.