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Finding the Fourth Proportional to 12,223.28, 16,875.06 and 7,978.48

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Solution

The fourth proportional to 12,223.28, 16,875.06 and 7,978.48 is: 11,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.28 : 16,875.06 = 7,978.48 : x
  2. Step 2: Convert to fraction form
    12,223.28/16,875.06 = 7,978.48/x
  3. Step 3: Cross multiply
    12,223.28x = 16,875.06 × 7,978.48
  4. Step 4: Simplify right side
    12,223.28x = 134,637,328.71
  5. Step 5: Solve for x
    x = 134,637,328.71/12,223.28
  6. Step 6: Final answer
    x = 11,014.83

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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.