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Finding the Fourth Proportional to 24,455.46, 36,675.26 and 7,811.60

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Solution

The fourth proportional to 24,455.46, 36,675.26 and 7,811.60 is: 11,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,455.46 : 36,675.26 = 7,811.60 : x
  2. Step 2: Convert to fraction form
    24,455.46/36,675.26 = 7,811.60/x
  3. Step 3: Cross multiply
    24,455.46x = 36,675.26 × 7,811.60
  4. Step 4: Simplify right side
    24,455.46x = 286,492,461.02
  5. Step 5: Solve for x
    x = 286,492,461.02/24,455.46
  6. Step 6: Final answer
    x = 11,714.87

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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.