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Finding the Fourth Proportional to 23,224, 32,055.09 and 14,155.51

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Solution

The fourth proportional to 23,224, 32,055.09 and 14,155.51 is: 19,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224 : 32,055.09 = 14,155.51 : x
  2. Step 2: Convert to fraction form
    23,224/32,055.09 = 14,155.51/x
  3. Step 3: Cross multiply
    23,224x = 32,055.09 × 14,155.51
  4. Step 4: Simplify right side
    23,224x = 453,756,076.27
  5. Step 5: Solve for x
    x = 453,756,076.27/23,224
  6. Step 6: Final answer
    x = 19,538.24

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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.