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Finding the Fourth Proportional to 13,649.14, 18,836.18 and 7,681.02

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Solution

The fourth proportional to 13,649.14, 18,836.18 and 7,681.02 is: 10,600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.14 : 18,836.18 = 7,681.02 : x
  2. Step 2: Convert to fraction form
    13,649.14/18,836.18 = 7,681.02/x
  3. Step 3: Cross multiply
    13,649.14x = 18,836.18 × 7,681.02
  4. Step 4: Simplify right side
    13,649.14x = 144,681,075.30
  5. Step 5: Solve for x
    x = 144,681,075.30/13,649.14
  6. Step 6: Final answer
    x = 10,600.01

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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.