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Finding the Fourth Proportional to 15,617.50, 23,427.89 and 5,088.34

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Solution

The fourth proportional to 15,617.50, 23,427.89 and 5,088.34 is: 7,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,617.50 : 23,427.89 = 5,088.34 : x
  2. Step 2: Convert to fraction form
    15,617.50/23,427.89 = 5,088.34/x
  3. Step 3: Cross multiply
    15,617.50x = 23,427.89 × 5,088.34
  4. Step 4: Simplify right side
    15,617.50x = 119,209,069.80
  5. Step 5: Solve for x
    x = 119,209,069.80/15,617.50
  6. Step 6: Final answer
    x = 7,633.04

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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.