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Finding the Fourth Proportional to 13,088, 18,042.36 and 9,938.72

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Solution

The fourth proportional to 13,088, 18,042.36 and 9,938.72 is: 13,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,088 : 18,042.36 = 9,938.72 : x
  2. Step 2: Convert to fraction form
    13,088/18,042.36 = 9,938.72/x
  3. Step 3: Cross multiply
    13,088x = 18,042.36 × 9,938.72
  4. Step 4: Simplify right side
    13,088x = 179,317,964.18
  5. Step 5: Solve for x
    x = 179,317,964.18/13,088
  6. Step 6: Final answer
    x = 13,700.94

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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.