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Finding the Fourth Proportional to 17,811.40, 24,572 and 10,733.80

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Solution

The fourth proportional to 17,811.40, 24,572 and 10,733.80 is: 14,807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.40 : 24,572 = 10,733.80 : x
  2. Step 2: Convert to fraction form
    17,811.40/24,572 = 10,733.80/x
  3. Step 3: Cross multiply
    17,811.40x = 24,572 × 10,733.80
  4. Step 4: Simplify right side
    17,811.40x = 263,750,933.60
  5. Step 5: Solve for x
    x = 263,750,933.60/17,811.40
  6. Step 6: Final answer
    x = 14,807.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.