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Finding the Fourth Proportional to 14,127.63, 19,496.07 and 7,840.01

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Solution

The fourth proportional to 14,127.63, 19,496.07 and 7,840.01 is: 10,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.63 : 19,496.07 = 7,840.01 : x
  2. Step 2: Convert to fraction form
    14,127.63/19,496.07 = 7,840.01/x
  3. Step 3: Cross multiply
    14,127.63x = 19,496.07 × 7,840.01
  4. Step 4: Simplify right side
    14,127.63x = 152,849,286.28
  5. Step 5: Solve for x
    x = 152,849,286.28/14,127.63
  6. Step 6: Final answer
    x = 10,819.17

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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.