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Finding the Fourth Proportional to 26,596, 36,702.32 and 14,496.47

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Solution

The fourth proportional to 26,596, 36,702.32 and 14,496.47 is: 20,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,596 : 36,702.32 = 14,496.47 : x
  2. Step 2: Convert to fraction form
    26,596/36,702.32 = 14,496.47/x
  3. Step 3: Cross multiply
    26,596x = 36,702.32 × 14,496.47
  4. Step 4: Simplify right side
    26,596x = 532,054,080.81
  5. Step 5: Solve for x
    x = 532,054,080.81/26,596
  6. Step 6: Final answer
    x = 20,005.04

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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.