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Finding the Fourth Proportional to 25,588.60, 38,380.22 and 6,870.64

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Solution

The fourth proportional to 25,588.60, 38,380.22 and 6,870.64 is: 10,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,588.60 : 38,380.22 = 6,870.64 : x
  2. Step 2: Convert to fraction form
    25,588.60/38,380.22 = 6,870.64/x
  3. Step 3: Cross multiply
    25,588.60x = 38,380.22 × 6,870.64
  4. Step 4: Simplify right side
    25,588.60x = 263,696,674.74
  5. Step 5: Solve for x
    x = 263,696,674.74/25,588.60
  6. Step 6: Final answer
    x = 10,305.24

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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.