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Finding the Fourth Proportional to 14,479.57, 21,678.40 and 9,201.50

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Solution

The fourth proportional to 14,479.57, 21,678.40 and 9,201.50 is: 13,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,479.57 : 21,678.40 = 9,201.50 : x
  2. Step 2: Convert to fraction form
    14,479.57/21,678.40 = 9,201.50/x
  3. Step 3: Cross multiply
    14,479.57x = 21,678.40 × 9,201.50
  4. Step 4: Simplify right side
    14,479.57x = 199,473,782.00
  5. Step 5: Solve for x
    x = 199,473,782.00/14,479.57
  6. Step 6: Final answer
    x = 13,776.22

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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.