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Finding the Fourth Proportional to 14,015.40, 19,341.06 and 7,727.70

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Solution

The fourth proportional to 14,015.40, 19,341.06 and 7,727.70 is: 10,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.40 : 19,341.06 = 7,727.70 : x
  2. Step 2: Convert to fraction form
    14,015.40/19,341.06 = 7,727.70/x
  3. Step 3: Cross multiply
    14,015.40x = 19,341.06 × 7,727.70
  4. Step 4: Simplify right side
    14,015.40x = 149,461,909.36
  5. Step 5: Solve for x
    x = 149,461,909.36/14,015.40
  6. Step 6: Final answer
    x = 10,664.12

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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.