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Finding the Fourth Proportional to 12,407.34, 17,155.80 and 12,207.03

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Solution

The fourth proportional to 12,407.34, 17,155.80 and 12,207.03 is: 16,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.34 : 17,155.80 = 12,207.03 : x
  2. Step 2: Convert to fraction form
    12,407.34/17,155.80 = 12,207.03/x
  3. Step 3: Cross multiply
    12,407.34x = 17,155.80 × 12,207.03
  4. Step 4: Simplify right side
    12,407.34x = 209,421,365.27
  5. Step 5: Solve for x
    x = 209,421,365.27/12,407.34
  6. Step 6: Final answer
    x = 16,878.83

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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.