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Finding the Fourth Proportional to 14,349.58, 19,802.26 and 8,382.16

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Solution

The fourth proportional to 14,349.58, 19,802.26 and 8,382.16 is: 11,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.58 : 19,802.26 = 8,382.16 : x
  2. Step 2: Convert to fraction form
    14,349.58/19,802.26 = 8,382.16/x
  3. Step 3: Cross multiply
    14,349.58x = 19,802.26 × 8,382.16
  4. Step 4: Simplify right side
    14,349.58x = 165,985,711.68
  5. Step 5: Solve for x
    x = 165,985,711.68/14,349.58
  6. Step 6: Final answer
    x = 11,567.29

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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.