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Finding the Fourth Proportional to 23,449.50, 35,182.89 and 12,355.74

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Solution

The fourth proportional to 23,449.50, 35,182.89 and 12,355.74 is: 18,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449.50 : 35,182.89 = 12,355.74 : x
  2. Step 2: Convert to fraction form
    23,449.50/35,182.89 = 12,355.74/x
  3. Step 3: Cross multiply
    23,449.50x = 35,182.89 × 12,355.74
  4. Step 4: Simplify right side
    23,449.50x = 434,710,641.29
  5. Step 5: Solve for x
    x = 434,710,641.29/23,449.50
  6. Step 6: Final answer
    x = 18,538.16

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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.