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Finding the Fourth Proportional to 40,524.16, 60,788.40 and 12,820

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Solution

The fourth proportional to 40,524.16, 60,788.40 and 12,820 is: 19,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,524.16 : 60,788.40 = 12,820 : x
  2. Step 2: Convert to fraction form
    40,524.16/60,788.40 = 12,820/x
  3. Step 3: Cross multiply
    40,524.16x = 60,788.40 × 12,820
  4. Step 4: Simplify right side
    40,524.16x = 779,307,288
  5. Step 5: Solve for x
    x = 779,307,288/40,524.16
  6. Step 6: Final answer
    x = 19,230.68

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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.