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Finding the Fourth Proportional to 16,944, 25,417.76 and 4,632

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Solution

The fourth proportional to 16,944, 25,417.76 and 4,632 is: 6,948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,944 : 25,417.76 = 4,632 : x
  2. Step 2: Convert to fraction form
    16,944/25,417.76 = 4,632/x
  3. Step 3: Cross multiply
    16,944x = 25,417.76 × 4,632
  4. Step 4: Simplify right side
    16,944x = 117,735,064.32
  5. Step 5: Solve for x
    x = 117,735,064.32/16,944
  6. Step 6: Final answer
    x = 6,948.48

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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.