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Finding the Fourth Proportional to 25,730.40, 38,566.80 and 13,245.60

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Solution

The fourth proportional to 25,730.40, 38,566.80 and 13,245.60 is: 19,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730.40 : 38,566.80 = 13,245.60 : x
  2. Step 2: Convert to fraction form
    25,730.40/38,566.80 = 13,245.60/x
  3. Step 3: Cross multiply
    25,730.40x = 38,566.80 × 13,245.60
  4. Step 4: Simplify right side
    25,730.40x = 510,840,406.08
  5. Step 5: Solve for x
    x = 510,840,406.08/25,730.40
  6. Step 6: Final answer
    x = 19,853.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.