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Finding the Fourth Proportional to 14,136.62, 19,508.54 and 7,848.99

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Solution

The fourth proportional to 14,136.62, 19,508.54 and 7,848.99 is: 10,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136.62 : 19,508.54 = 7,848.99 : x
  2. Step 2: Convert to fraction form
    14,136.62/19,508.54 = 7,848.99/x
  3. Step 3: Cross multiply
    14,136.62x = 19,508.54 × 7,848.99
  4. Step 4: Simplify right side
    14,136.62x = 153,122,296.13
  5. Step 5: Solve for x
    x = 153,122,296.13/14,136.62
  6. Step 6: Final answer
    x = 10,831.61

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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.