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Finding the Fourth Proportional to 23,485.40, 32,409.78 and 12,875

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Solution

The fourth proportional to 23,485.40, 32,409.78 and 12,875 is: 17,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,485.40 : 32,409.78 = 12,875 : x
  2. Step 2: Convert to fraction form
    23,485.40/32,409.78 = 12,875/x
  3. Step 3: Cross multiply
    23,485.40x = 32,409.78 × 12,875
  4. Step 4: Simplify right side
    23,485.40x = 417,275,917.50
  5. Step 5: Solve for x
    x = 417,275,917.50/23,485.40
  6. Step 6: Final answer
    x = 17,767.46

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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.