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Finding the Fourth Proportional to 14,241.83, 19,653.54 and 7,868.44

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Solution

The fourth proportional to 14,241.83, 19,653.54 and 7,868.44 is: 10,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.83 : 19,653.54 = 7,868.44 : x
  2. Step 2: Convert to fraction form
    14,241.83/19,653.54 = 7,868.44/x
  3. Step 3: Cross multiply
    14,241.83x = 19,653.54 × 7,868.44
  4. Step 4: Simplify right side
    14,241.83x = 154,642,695.34
  5. Step 5: Solve for x
    x = 154,642,695.34/14,241.83
  6. Step 6: Final answer
    x = 10,858.35

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1.5x scale

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.