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Finding the Fourth Proportional to 12,970.90, 17,892.64 and 8,501.86

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Solution

The fourth proportional to 12,970.90, 17,892.64 and 8,501.86 is: 11,727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.90 : 17,892.64 = 8,501.86 : x
  2. Step 2: Convert to fraction form
    12,970.90/17,892.64 = 8,501.86/x
  3. Step 3: Cross multiply
    12,970.90x = 17,892.64 × 8,501.86
  4. Step 4: Simplify right side
    12,970.90x = 152,120,720.31
  5. Step 5: Solve for x
    x = 152,120,720.31/12,970.90
  6. Step 6: Final answer
    x = 11,727.85

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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.