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Finding the Fourth Proportional to 12,646.86, 17,457.45 and 9,512.10

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Solution

The fourth proportional to 12,646.86, 17,457.45 and 9,512.10 is: 13,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.86 : 17,457.45 = 9,512.10 : x
  2. Step 2: Convert to fraction form
    12,646.86/17,457.45 = 9,512.10/x
  3. Step 3: Cross multiply
    12,646.86x = 17,457.45 × 9,512.10
  4. Step 4: Simplify right side
    12,646.86x = 166,057,010.15
  5. Step 5: Solve for x
    x = 166,057,010.15/12,646.86
  6. Step 6: Final answer
    x = 13,130.30

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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.