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Finding the Fourth Proportional to 14,612.56, 21,916.14 and 4,748.92

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Solution

The fourth proportional to 14,612.56, 21,916.14 and 4,748.92 is: 7,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.56 : 21,916.14 = 4,748.92 : x
  2. Step 2: Convert to fraction form
    14,612.56/21,916.14 = 4,748.92/x
  3. Step 3: Cross multiply
    14,612.56x = 21,916.14 × 4,748.92
  4. Step 4: Simplify right side
    14,612.56x = 104,077,995.57
  5. Step 5: Solve for x
    x = 104,077,995.57/14,612.56
  6. Step 6: Final answer
    x = 7,122.50

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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.