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Finding the Fourth Proportional to 14,054.38, 19,395.12 and 7,766.76

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Solution

The fourth proportional to 14,054.38, 19,395.12 and 7,766.76 is: 10,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054.38 : 19,395.12 = 7,766.76 : x
  2. Step 2: Convert to fraction form
    14,054.38/19,395.12 = 7,766.76/x
  3. Step 3: Cross multiply
    14,054.38x = 19,395.12 × 7,766.76
  4. Step 4: Simplify right side
    14,054.38x = 150,637,242.21
  5. Step 5: Solve for x
    x = 150,637,242.21/14,054.38
  6. Step 6: Final answer
    x = 10,718.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.