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Finding the Fourth Proportional to 14,681.68, 20,260.77 and 7,967.31

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Solution

The fourth proportional to 14,681.68, 20,260.77 and 7,967.31 is: 10,994.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.68 : 20,260.77 = 7,967.31 : x
  2. Step 2: Convert to fraction form
    14,681.68/20,260.77 = 7,967.31/x
  3. Step 3: Cross multiply
    14,681.68x = 20,260.77 × 7,967.31
  4. Step 4: Simplify right side
    14,681.68x = 161,423,825.29
  5. Step 5: Solve for x
    x = 161,423,825.29/14,681.68
  6. Step 6: Final answer
    x = 10,994.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.