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Finding the Fourth Proportional to 14,127.71, 19,496.36 and 7,840.19

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Solution

The fourth proportional to 14,127.71, 19,496.36 and 7,840.19 is: 10,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.71 : 19,496.36 = 7,840.19 : x
  2. Step 2: Convert to fraction form
    14,127.71/19,496.36 = 7,840.19/x
  3. Step 3: Cross multiply
    14,127.71x = 19,496.36 × 7,840.19
  4. Step 4: Simplify right side
    14,127.71x = 152,855,127.51
  5. Step 5: Solve for x
    x = 152,855,127.51/14,127.71
  6. Step 6: Final answer
    x = 10,819.53

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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.