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Finding the Fourth Proportional to 14,357.99, 19,814.09 and 7,985.16

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Solution

The fourth proportional to 14,357.99, 19,814.09 and 7,985.16 is: 11,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.99 : 19,814.09 = 7,985.16 : x
  2. Step 2: Convert to fraction form
    14,357.99/19,814.09 = 7,985.16/x
  3. Step 3: Cross multiply
    14,357.99x = 19,814.09 × 7,985.16
  4. Step 4: Simplify right side
    14,357.99x = 158,218,678.90
  5. Step 5: Solve for x
    x = 158,218,678.90/14,357.99
  6. Step 6: Final answer
    x = 11,019.56

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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.