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Finding the Fourth Proportional to 12,838.10, 19,222.38 and 6,669.14

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Solution

The fourth proportional to 12,838.10, 19,222.38 and 6,669.14 is: 9,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.10 : 19,222.38 = 6,669.14 : x
  2. Step 2: Convert to fraction form
    12,838.10/19,222.38 = 6,669.14/x
  3. Step 3: Cross multiply
    12,838.10x = 19,222.38 × 6,669.14
  4. Step 4: Simplify right side
    12,838.10x = 128,196,743.35
  5. Step 5: Solve for x
    x = 128,196,743.35/12,838.10
  6. Step 6: Final answer
    x = 9,985.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.