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Finding the Fourth Proportional to 24,419.46, 36,628.68 and 7,780.64

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Solution

The fourth proportional to 24,419.46, 36,628.68 and 7,780.64 is: 11,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.46 : 36,628.68 = 7,780.64 : x
  2. Step 2: Convert to fraction form
    24,419.46/36,628.68 = 7,780.64/x
  3. Step 3: Cross multiply
    24,419.46x = 36,628.68 × 7,780.64
  4. Step 4: Simplify right side
    24,419.46x = 284,994,572.76
  5. Step 5: Solve for x
    x = 284,994,572.76/24,419.46
  6. Step 6: Final answer
    x = 11,670.80

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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.