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Finding the Fourth Proportional to 26,602.14, 36,710.49 and 14,666.58

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Solution

The fourth proportional to 26,602.14, 36,710.49 and 14,666.58 is: 20,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,602.14 : 36,710.49 = 14,666.58 : x
  2. Step 2: Convert to fraction form
    26,602.14/36,710.49 = 14,666.58/x
  3. Step 3: Cross multiply
    26,602.14x = 36,710.49 × 14,666.58
  4. Step 4: Simplify right side
    26,602.14x = 538,417,338.42
  5. Step 5: Solve for x
    x = 538,417,338.42/26,602.14
  6. Step 6: Final answer
    x = 20,239.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.