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Finding the Fourth Proportional to 15,097.12, 22,623.81 and 8,509.29

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Solution

The fourth proportional to 15,097.12, 22,623.81 and 8,509.29 is: 12,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.12 : 22,623.81 = 8,509.29 : x
  2. Step 2: Convert to fraction form
    15,097.12/22,623.81 = 8,509.29/x
  3. Step 3: Cross multiply
    15,097.12x = 22,623.81 × 8,509.29
  4. Step 4: Simplify right side
    15,097.12x = 192,512,443.45
  5. Step 5: Solve for x
    x = 192,512,443.45/15,097.12
  6. Step 6: Final answer
    x = 12,751.60

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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.