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Finding the Fourth Proportional to 23,359.29, 35,018.10 and 8,564.76

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Solution

The fourth proportional to 23,359.29, 35,018.10 and 8,564.76 is: 12,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,359.29 : 35,018.10 = 8,564.76 : x
  2. Step 2: Convert to fraction form
    23,359.29/35,018.10 = 8,564.76/x
  3. Step 3: Cross multiply
    23,359.29x = 35,018.10 × 8,564.76
  4. Step 4: Simplify right side
    23,359.29x = 299,921,622.16
  5. Step 5: Solve for x
    x = 299,921,622.16/23,359.29
  6. Step 6: Final answer
    x = 12,839.50

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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.