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Finding the Fourth Proportional to 25,030.72, 34,540.80 and 13,852

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Solution

The fourth proportional to 25,030.72, 34,540.80 and 13,852 is: 19,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,030.72 : 34,540.80 = 13,852 : x
  2. Step 2: Convert to fraction form
    25,030.72/34,540.80 = 13,852/x
  3. Step 3: Cross multiply
    25,030.72x = 34,540.80 × 13,852
  4. Step 4: Simplify right side
    25,030.72x = 478,459,161.60
  5. Step 5: Solve for x
    x = 478,459,161.60/25,030.72
  6. Step 6: Final answer
    x = 19,114.88

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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.