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Finding the Fourth Proportional to 13,888.68, 19,165.64 and 7,599.84

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Solution

The fourth proportional to 13,888.68, 19,165.64 and 7,599.84 is: 10,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,888.68 : 19,165.64 = 7,599.84 : x
  2. Step 2: Convert to fraction form
    13,888.68/19,165.64 = 7,599.84/x
  3. Step 3: Cross multiply
    13,888.68x = 19,165.64 × 7,599.84
  4. Step 4: Simplify right side
    13,888.68x = 145,655,797.50
  5. Step 5: Solve for x
    x = 145,655,797.50/13,888.68
  6. Step 6: Final answer
    x = 10,487.38

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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.