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Finding the Fourth Proportional to 14,188.40, 19,580.28 and 8,222

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Solution

The fourth proportional to 14,188.40, 19,580.28 and 8,222 is: 11,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.40 : 19,580.28 = 8,222 : x
  2. Step 2: Convert to fraction form
    14,188.40/19,580.28 = 8,222/x
  3. Step 3: Cross multiply
    14,188.40x = 19,580.28 × 8,222
  4. Step 4: Simplify right side
    14,188.40x = 160,989,062.16
  5. Step 5: Solve for x
    x = 160,989,062.16/14,188.40
  6. Step 6: Final answer
    x = 11,346.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.