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Finding the Fourth Proportional to 23,564.58, 32,519.74 and 12,810.17

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Solution

The fourth proportional to 23,564.58, 32,519.74 and 12,810.17 is: 17,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.58 : 32,519.74 = 12,810.17 : x
  2. Step 2: Convert to fraction form
    23,564.58/32,519.74 = 12,810.17/x
  3. Step 3: Cross multiply
    23,564.58x = 32,519.74 × 12,810.17
  4. Step 4: Simplify right side
    23,564.58x = 416,583,447.03
  5. Step 5: Solve for x
    x = 416,583,447.03/23,564.58
  6. Step 6: Final answer
    x = 17,678.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.