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Finding the Fourth Proportional to 14,471.61, 21,709 and 4,608.57

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Solution

The fourth proportional to 14,471.61, 21,709 and 4,608.57 is: 6,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.61 : 21,709 = 4,608.57 : x
  2. Step 2: Convert to fraction form
    14,471.61/21,709 = 4,608.57/x
  3. Step 3: Cross multiply
    14,471.61x = 21,709 × 4,608.57
  4. Step 4: Simplify right side
    14,471.61x = 100,047,446.13
  5. Step 5: Solve for x
    x = 100,047,446.13/14,471.61
  6. Step 6: Final answer
    x = 6,913.36

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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.