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Finding the Fourth Proportional to 14,122.36, 19,490.52 and 7,835.14

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Solution

The fourth proportional to 14,122.36, 19,490.52 and 7,835.14 is: 10,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.36 : 19,490.52 = 7,835.14 : x
  2. Step 2: Convert to fraction form
    14,122.36/19,490.52 = 7,835.14/x
  3. Step 3: Cross multiply
    14,122.36x = 19,490.52 × 7,835.14
  4. Step 4: Simplify right side
    14,122.36x = 152,710,952.87
  5. Step 5: Solve for x
    x = 152,710,952.87/14,122.36
  6. Step 6: Final answer
    x = 10,813.42

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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.