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Finding the Fourth Proportional to 14,657.42, 21,977.22 and 5,762.10

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Solution

The fourth proportional to 14,657.42, 21,977.22 and 5,762.10 is: 8,639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.42 : 21,977.22 = 5,762.10 : x
  2. Step 2: Convert to fraction form
    14,657.42/21,977.22 = 5,762.10/x
  3. Step 3: Cross multiply
    14,657.42x = 21,977.22 × 5,762.10
  4. Step 4: Simplify right side
    14,657.42x = 126,634,939.36
  5. Step 5: Solve for x
    x = 126,634,939.36/14,657.42
  6. Step 6: Final answer
    x = 8,639.65

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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.