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Finding the Fourth Proportional to 26,597, 36,703.70 and 14,497.47

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Solution

The fourth proportional to 26,597, 36,703.70 and 14,497.47 is: 20,006.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,597 : 36,703.70 = 14,497.47 : x
  2. Step 2: Convert to fraction form
    26,597/36,703.70 = 14,497.47/x
  3. Step 3: Cross multiply
    26,597x = 36,703.70 × 14,497.47
  4. Step 4: Simplify right side
    26,597x = 532,110,789.64
  5. Step 5: Solve for x
    x = 532,110,789.64/26,597
  6. Step 6: Final answer
    x = 20,006.42

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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.