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Finding the Fourth Proportional to 14,857.56, 22,289.58 and 4,468.50

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Solution

The fourth proportional to 14,857.56, 22,289.58 and 4,468.50 is: 6,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.56 : 22,289.58 = 4,468.50 : x
  2. Step 2: Convert to fraction form
    14,857.56/22,289.58 = 4,468.50/x
  3. Step 3: Cross multiply
    14,857.56x = 22,289.58 × 4,468.50
  4. Step 4: Simplify right side
    14,857.56x = 99,600,988.23
  5. Step 5: Solve for x
    x = 99,600,988.23/14,857.56
  6. Step 6: Final answer
    x = 6,703.72

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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.