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Finding the Fourth Proportional to 14,400, 19,878.66 and 10,154.52

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Solution

The fourth proportional to 14,400, 19,878.66 and 10,154.52 is: 14,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400 : 19,878.66 = 10,154.52 : x
  2. Step 2: Convert to fraction form
    14,400/19,878.66 = 10,154.52/x
  3. Step 3: Cross multiply
    14,400x = 19,878.66 × 10,154.52
  4. Step 4: Simplify right side
    14,400x = 201,858,250.54
  5. Step 5: Solve for x
    x = 201,858,250.54/14,400
  6. Step 6: Final answer
    x = 14,017.93

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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.