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Finding the Fourth Proportional to 14,241.99, 19,653.84 and 7,869.00

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Solution

The fourth proportional to 14,241.99, 19,653.84 and 7,869.00 is: 10,859.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.99 : 19,653.84 = 7,869.00 : x
  2. Step 2: Convert to fraction form
    14,241.99/19,653.84 = 7,869.00/x
  3. Step 3: Cross multiply
    14,241.99x = 19,653.84 × 7,869.00
  4. Step 4: Simplify right side
    14,241.99x = 154,656,030.11
  5. Step 5: Solve for x
    x = 154,656,030.11/14,241.99
  6. Step 6: Final answer
    x = 10,859.16

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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.