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Finding the Fourth Proportional to 25,596.80, 35,322.64 and 14,416.64

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Solution

The fourth proportional to 25,596.80, 35,322.64 and 14,416.64 is: 19,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.80 : 35,322.64 = 14,416.64 : x
  2. Step 2: Convert to fraction form
    25,596.80/35,322.64 = 14,416.64/x
  3. Step 3: Cross multiply
    25,596.80x = 35,322.64 × 14,416.64
  4. Step 4: Simplify right side
    25,596.80x = 509,233,784.73
  5. Step 5: Solve for x
    x = 509,233,784.73/25,596.80
  6. Step 6: Final answer
    x = 19,894.43

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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.