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Finding the Fourth Proportional to 14,497.24, 20,005.50 and 8,907.16

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Solution

The fourth proportional to 14,497.24, 20,005.50 and 8,907.16 is: 12,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.24 : 20,005.50 = 8,907.16 : x
  2. Step 2: Convert to fraction form
    14,497.24/20,005.50 = 8,907.16/x
  3. Step 3: Cross multiply
    14,497.24x = 20,005.50 × 8,907.16
  4. Step 4: Simplify right side
    14,497.24x = 178,192,189.38
  5. Step 5: Solve for x
    x = 178,192,189.38/14,497.24
  6. Step 6: Final answer
    x = 12,291.46

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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.