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Finding the Fourth Proportional to 14,410.69, 19,886.75 and 8,123.06

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Solution

The fourth proportional to 14,410.69, 19,886.75 and 8,123.06 is: 11,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.69 : 19,886.75 = 8,123.06 : x
  2. Step 2: Convert to fraction form
    14,410.69/19,886.75 = 8,123.06/x
  3. Step 3: Cross multiply
    14,410.69x = 19,886.75 × 8,123.06
  4. Step 4: Simplify right side
    14,410.69x = 161,541,303.02
  5. Step 5: Solve for x
    x = 161,541,303.02/14,410.69
  6. Step 6: Final answer
    x = 11,209.83

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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.