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Finding the Fourth Proportional to 25,458.40, 38,176.80 and 12,314.80

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Solution

The fourth proportional to 25,458.40, 38,176.80 and 12,314.80 is: 18,466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,458.40 : 38,176.80 = 12,314.80 : x
  2. Step 2: Convert to fraction form
    25,458.40/38,176.80 = 12,314.80/x
  3. Step 3: Cross multiply
    25,458.40x = 38,176.80 × 12,314.80
  4. Step 4: Simplify right side
    25,458.40x = 470,139,656.64
  5. Step 5: Solve for x
    x = 470,139,656.64/25,458.40
  6. Step 6: Final answer
    x = 18,466.98

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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.