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Finding the Fourth Proportional to 24,101.64, 36,156.30 and 8,302.76

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Solution

The fourth proportional to 24,101.64, 36,156.30 and 8,302.76 is: 12,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,101.64 : 36,156.30 = 8,302.76 : x
  2. Step 2: Convert to fraction form
    24,101.64/36,156.30 = 8,302.76/x
  3. Step 3: Cross multiply
    24,101.64x = 36,156.30 × 8,302.76
  4. Step 4: Simplify right side
    24,101.64x = 300,196,900.61
  5. Step 5: Solve for x
    x = 300,196,900.61/24,101.64
  6. Step 6: Final answer
    x = 12,455.46

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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.