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Finding the Fourth Proportional to 26,769, 40,155.98 and 7,047.66

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Solution

The fourth proportional to 26,769, 40,155.98 and 7,047.66 is: 10,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,769 : 40,155.98 = 7,047.66 : x
  2. Step 2: Convert to fraction form
    26,769/40,155.98 = 7,047.66/x
  3. Step 3: Cross multiply
    26,769x = 40,155.98 × 7,047.66
  4. Step 4: Simplify right side
    26,769x = 283,005,658.77
  5. Step 5: Solve for x
    x = 283,005,658.77/26,769
  6. Step 6: Final answer
    x = 10,572.14

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Why These Related Problems?

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