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Finding the Fourth Proportional to 14,299.41, 19,733.12 and 8,011.77

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Solution

The fourth proportional to 14,299.41, 19,733.12 and 8,011.77 is: 11,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,299.41 : 19,733.12 = 8,011.77 : x
  2. Step 2: Convert to fraction form
    14,299.41/19,733.12 = 8,011.77/x
  3. Step 3: Cross multiply
    14,299.41x = 19,733.12 × 8,011.77
  4. Step 4: Simplify right side
    14,299.41x = 158,097,140.19
  5. Step 5: Solve for x
    x = 158,097,140.19/14,299.41
  6. Step 6: Final answer
    x = 11,056.20

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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.