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Finding the Fourth Proportional to 14,756.16, 22,134.72 and 4,895.16

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Solution

The fourth proportional to 14,756.16, 22,134.72 and 4,895.16 is: 7,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756.16 : 22,134.72 = 4,895.16 : x
  2. Step 2: Convert to fraction form
    14,756.16/22,134.72 = 4,895.16/x
  3. Step 3: Cross multiply
    14,756.16x = 22,134.72 × 4,895.16
  4. Step 4: Simplify right side
    14,756.16x = 108,352,995.96
  5. Step 5: Solve for x
    x = 108,352,995.96/14,756.16
  6. Step 6: Final answer
    x = 7,342.90

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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.