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Finding the Fourth Proportional to 14,399.10, 19,870.79 and 8,429.58

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Solution

The fourth proportional to 14,399.10, 19,870.79 and 8,429.58 is: 11,632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,399.10 : 19,870.79 = 8,429.58 : x
  2. Step 2: Convert to fraction form
    14,399.10/19,870.79 = 8,429.58/x
  3. Step 3: Cross multiply
    14,399.10x = 19,870.79 × 8,429.58
  4. Step 4: Simplify right side
    14,399.10x = 167,502,371.82
  5. Step 5: Solve for x
    x = 167,502,371.82/14,399.10
  6. Step 6: Final answer
    x = 11,632.84

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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.