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Finding the Fourth Proportional to 22,526, 31,085.16 and 12,453.68

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Solution

The fourth proportional to 22,526, 31,085.16 and 12,453.68 is: 17,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,526 : 31,085.16 = 12,453.68 : x
  2. Step 2: Convert to fraction form
    22,526/31,085.16 = 12,453.68/x
  3. Step 3: Cross multiply
    22,526x = 31,085.16 × 12,453.68
  4. Step 4: Simplify right side
    22,526x = 387,124,635.39
  5. Step 5: Solve for x
    x = 387,124,635.39/22,526
  6. Step 6: Final answer
    x = 17,185.68

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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.