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Finding the Fourth Proportional to 14,431.68, 21,643.41 and 9,158.74

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Solution

The fourth proportional to 14,431.68, 21,643.41 and 9,158.74 is: 13,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.68 : 21,643.41 = 9,158.74 : x
  2. Step 2: Convert to fraction form
    14,431.68/21,643.41 = 9,158.74/x
  3. Step 3: Cross multiply
    14,431.68x = 21,643.41 × 9,158.74
  4. Step 4: Simplify right side
    14,431.68x = 198,226,345.14
  5. Step 5: Solve for x
    x = 198,226,345.14/14,431.68
  6. Step 6: Final answer
    x = 13,735.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.