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Finding the Fourth Proportional to 26,506, 36,578.33 and 14,569.12

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Solution

The fourth proportional to 26,506, 36,578.33 and 14,569.12 is: 20,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506 : 36,578.33 = 14,569.12 : x
  2. Step 2: Convert to fraction form
    26,506/36,578.33 = 14,569.12/x
  3. Step 3: Cross multiply
    26,506x = 36,578.33 × 14,569.12
  4. Step 4: Simplify right side
    26,506x = 532,914,079.17
  5. Step 5: Solve for x
    x = 532,914,079.17/26,506
  6. Step 6: Final answer
    x = 20,105.41

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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.