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Finding the Fourth Proportional to 26,798.95, 36,980.71 and 14,861.17

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Solution

The fourth proportional to 26,798.95, 36,980.71 and 14,861.17 is: 20,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,798.95 : 36,980.71 = 14,861.17 : x
  2. Step 2: Convert to fraction form
    26,798.95/36,980.71 = 14,861.17/x
  3. Step 3: Cross multiply
    26,798.95x = 36,980.71 × 14,861.17
  4. Step 4: Simplify right side
    26,798.95x = 549,576,618.03
  5. Step 5: Solve for x
    x = 549,576,618.03/26,798.95
  6. Step 6: Final answer
    x = 20,507.39

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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.