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Finding the Fourth Proportional to 24,369.60, 36,554.40 and 6,842.40

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Solution

The fourth proportional to 24,369.60, 36,554.40 and 6,842.40 is: 10,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,369.60 : 36,554.40 = 6,842.40 : x
  2. Step 2: Convert to fraction form
    24,369.60/36,554.40 = 6,842.40/x
  3. Step 3: Cross multiply
    24,369.60x = 36,554.40 × 6,842.40
  4. Step 4: Simplify right side
    24,369.60x = 250,119,826.56
  5. Step 5: Solve for x
    x = 250,119,826.56/24,369.60
  6. Step 6: Final answer
    x = 10,263.60

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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.