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Finding the Fourth Proportional to 25,509.96, 35,204.22 and 14,180.40

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Solution

The fourth proportional to 25,509.96, 35,204.22 and 14,180.40 is: 19,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.96 : 35,204.22 = 14,180.40 : x
  2. Step 2: Convert to fraction form
    25,509.96/35,204.22 = 14,180.40/x
  3. Step 3: Cross multiply
    25,509.96x = 35,204.22 × 14,180.40
  4. Step 4: Simplify right side
    25,509.96x = 499,209,921.29
  5. Step 5: Solve for x
    x = 499,209,921.29/25,509.96
  6. Step 6: Final answer
    x = 19,569.22

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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.