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Finding the Fourth Proportional to 23,301, 32,155.56 and 13,869

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Solution

The fourth proportional to 23,301, 32,155.56 and 13,869 is: 19,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,301 : 32,155.56 = 13,869 : x
  2. Step 2: Convert to fraction form
    23,301/32,155.56 = 13,869/x
  3. Step 3: Cross multiply
    23,301x = 32,155.56 × 13,869
  4. Step 4: Simplify right side
    23,301x = 445,965,461.64
  5. Step 5: Solve for x
    x = 445,965,461.64/23,301
  6. Step 6: Final answer
    x = 19,139.33

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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.