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Finding the Fourth Proportional to 23,618, 32,592.86 and 13,007.60

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Solution

The fourth proportional to 23,618, 32,592.86 and 13,007.60 is: 17,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,618 : 32,592.86 = 13,007.60 : x
  2. Step 2: Convert to fraction form
    23,618/32,592.86 = 13,007.60/x
  3. Step 3: Cross multiply
    23,618x = 32,592.86 × 13,007.60
  4. Step 4: Simplify right side
    23,618x = 423,954,885.74
  5. Step 5: Solve for x
    x = 423,954,885.74/23,618
  6. Step 6: Final answer
    x = 17,950.50

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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.