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Finding the Fourth Proportional to 25,587.60, 38,378.72 and 6,869.64

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Solution

The fourth proportional to 25,587.60, 38,378.72 and 6,869.64 is: 10,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,587.60 : 38,378.72 = 6,869.64 : x
  2. Step 2: Convert to fraction form
    25,587.60/38,378.72 = 6,869.64/x
  3. Step 3: Cross multiply
    25,587.60x = 38,378.72 × 6,869.64
  4. Step 4: Simplify right side
    25,587.60x = 263,647,990.06
  5. Step 5: Solve for x
    x = 263,647,990.06/25,587.60
  6. Step 6: Final answer
    x = 10,303.74

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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.