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Finding the Fourth Proportional to 23,354, 32,228.52 and 12,743

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Solution

The fourth proportional to 23,354, 32,228.52 and 12,743 is: 17,585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354 : 32,228.52 = 12,743 : x
  2. Step 2: Convert to fraction form
    23,354/32,228.52 = 12,743/x
  3. Step 3: Cross multiply
    23,354x = 32,228.52 × 12,743
  4. Step 4: Simplify right side
    23,354x = 410,688,030.36
  5. Step 5: Solve for x
    x = 410,688,030.36/23,354
  6. Step 6: Final answer
    x = 17,585.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.