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Finding the Fourth Proportional to 23,214.69, 32,036.04 and 12,604.10

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Solution

The fourth proportional to 23,214.69, 32,036.04 and 12,604.10 is: 17,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214.69 : 32,036.04 = 12,604.10 : x
  2. Step 2: Convert to fraction form
    23,214.69/32,036.04 = 12,604.10/x
  3. Step 3: Cross multiply
    23,214.69x = 32,036.04 × 12,604.10
  4. Step 4: Simplify right side
    23,214.69x = 403,785,291.58
  5. Step 5: Solve for x
    x = 403,785,291.58/23,214.69
  6. Step 6: Final answer
    x = 17,393.53

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