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Finding the Fourth Proportional to 14,681.40, 20,260.16 and 7,967.01

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Solution

The fourth proportional to 14,681.40, 20,260.16 and 7,967.01 is: 10,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.40 : 20,260.16 = 7,967.01 : x
  2. Step 2: Convert to fraction form
    14,681.40/20,260.16 = 7,967.01/x
  3. Step 3: Cross multiply
    14,681.40x = 20,260.16 × 7,967.01
  4. Step 4: Simplify right side
    14,681.40x = 161,412,857.49
  5. Step 5: Solve for x
    x = 161,412,857.49/14,681.40
  6. Step 6: Final answer
    x = 10,994.38

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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.