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Finding the Fourth Proportional to 12,465.86, 17,204.10 and 9,316.58

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Solution

The fourth proportional to 12,465.86, 17,204.10 and 9,316.58 is: 12,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.86 : 17,204.10 = 9,316.58 : x
  2. Step 2: Convert to fraction form
    12,465.86/17,204.10 = 9,316.58/x
  3. Step 3: Cross multiply
    12,465.86x = 17,204.10 × 9,316.58
  4. Step 4: Simplify right side
    12,465.86x = 160,283,373.98
  5. Step 5: Solve for x
    x = 160,283,373.98/12,465.86
  6. Step 6: Final answer
    x = 12,857.79

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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.