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Finding the Fourth Proportional to 14,136.63, 19,509.15 and 7,849

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Solution

The fourth proportional to 14,136.63, 19,509.15 and 7,849 is: 10,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136.63 : 19,509.15 = 7,849 : x
  2. Step 2: Convert to fraction form
    14,136.63/19,509.15 = 7,849/x
  3. Step 3: Cross multiply
    14,136.63x = 19,509.15 × 7,849
  4. Step 4: Simplify right side
    14,136.63x = 153,127,318.35
  5. Step 5: Solve for x
    x = 153,127,318.35/14,136.63
  6. Step 6: Final answer
    x = 10,831.95

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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.