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Finding the Fourth Proportional to 14,188.36, 19,579.76 and 7,814.82

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Solution

The fourth proportional to 14,188.36, 19,579.76 and 7,814.82 is: 10,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.36 : 19,579.76 = 7,814.82 : x
  2. Step 2: Convert to fraction form
    14,188.36/19,579.76 = 7,814.82/x
  3. Step 3: Cross multiply
    14,188.36x = 19,579.76 × 7,814.82
  4. Step 4: Simplify right side
    14,188.36x = 153,012,300.04
  5. Step 5: Solve for x
    x = 153,012,300.04/14,188.36
  6. Step 6: Final answer
    x = 10,784.35

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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.