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Finding the Fourth Proportional to 12,353.40, 17,047.72 and 6,688.21

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Solution

The fourth proportional to 12,353.40, 17,047.72 and 6,688.21 is: 9,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.40 : 17,047.72 = 6,688.21 : x
  2. Step 2: Convert to fraction form
    12,353.40/17,047.72 = 6,688.21/x
  3. Step 3: Cross multiply
    12,353.40x = 17,047.72 × 6,688.21
  4. Step 4: Simplify right side
    12,353.40x = 114,018,731.38
  5. Step 5: Solve for x
    x = 114,018,731.38/12,353.40
  6. Step 6: Final answer
    x = 9,229.74

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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.