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Finding the Fourth Proportional to 24,271.50, 36,385.58 and 9,476.96

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Solution

The fourth proportional to 24,271.50, 36,385.58 and 9,476.96 is: 14,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,271.50 : 36,385.58 = 9,476.96 : x
  2. Step 2: Convert to fraction form
    24,271.50/36,385.58 = 9,476.96/x
  3. Step 3: Cross multiply
    24,271.50x = 36,385.58 × 9,476.96
  4. Step 4: Simplify right side
    24,271.50x = 344,824,686.24
  5. Step 5: Solve for x
    x = 344,824,686.24/24,271.50
  6. Step 6: Final answer
    x = 14,206.98

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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.