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Finding the Fourth Proportional to 12,820.99, 17,693.23 and 7,155.74

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Solution

The fourth proportional to 12,820.99, 17,693.23 and 7,155.74 is: 9,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.99 : 17,693.23 = 7,155.74 : x
  2. Step 2: Convert to fraction form
    12,820.99/17,693.23 = 7,155.74/x
  3. Step 3: Cross multiply
    12,820.99x = 17,693.23 × 7,155.74
  4. Step 4: Simplify right side
    12,820.99x = 126,608,153.64
  5. Step 5: Solve for x
    x = 126,608,153.64/12,820.99
  6. Step 6: Final answer
    x = 9,875.07

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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.