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Finding the Fourth Proportional to 13,091.72, 18,066.77 and 7,123.40

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Solution

The fourth proportional to 13,091.72, 18,066.77 and 7,123.40 is: 9,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.72 : 18,066.77 = 7,123.40 : x
  2. Step 2: Convert to fraction form
    13,091.72/18,066.77 = 7,123.40/x
  3. Step 3: Cross multiply
    13,091.72x = 18,066.77 × 7,123.40
  4. Step 4: Simplify right side
    13,091.72x = 128,696,703.47
  5. Step 5: Solve for x
    x = 128,696,703.47/13,091.72
  6. Step 6: Final answer
    x = 9,830.39

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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.