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Finding the Fourth Proportional to 23,358.54, 35,016.98 and 8,564.01

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Solution

The fourth proportional to 23,358.54, 35,016.98 and 8,564.01 is: 12,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,358.54 : 35,016.98 = 8,564.01 : x
  2. Step 2: Convert to fraction form
    23,358.54/35,016.98 = 8,564.01/x
  3. Step 3: Cross multiply
    23,358.54x = 35,016.98 × 8,564.01
  4. Step 4: Simplify right side
    23,358.54x = 299,885,636.53
  5. Step 5: Solve for x
    x = 299,885,636.53/23,358.54
  6. Step 6: Final answer
    x = 12,838.37

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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.