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Finding the Fourth Proportional to 25,509.79, 35,200.85 and 14,177.46

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Solution

The fourth proportional to 25,509.79, 35,200.85 and 14,177.46 is: 19,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.79 : 35,200.85 = 14,177.46 : x
  2. Step 2: Convert to fraction form
    25,509.79/35,200.85 = 14,177.46/x
  3. Step 3: Cross multiply
    25,509.79x = 35,200.85 × 14,177.46
  4. Step 4: Simplify right side
    25,509.79x = 499,058,642.84
  5. Step 5: Solve for x
    x = 499,058,642.84/25,509.79
  6. Step 6: Final answer
    x = 19,563.42

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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.