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Finding the Fourth Proportional to 23,306, 32,153.16 and 15,352.40

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Solution

The fourth proportional to 23,306, 32,153.16 and 15,352.40 is: 21,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,306 : 32,153.16 = 15,352.40 : x
  2. Step 2: Convert to fraction form
    23,306/32,153.16 = 15,352.40/x
  3. Step 3: Cross multiply
    23,306x = 32,153.16 × 15,352.40
  4. Step 4: Simplify right side
    23,306x = 493,628,173.58
  5. Step 5: Solve for x
    x = 493,628,173.58/23,306
  6. Step 6: Final answer
    x = 21,180.30

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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.