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Finding the Fourth Proportional to 22,526.99, 31,085.92 and 12,454.64

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Solution

The fourth proportional to 22,526.99, 31,085.92 and 12,454.64 is: 17,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,526.99 : 31,085.92 = 12,454.64 : x
  2. Step 2: Convert to fraction form
    22,526.99/31,085.92 = 12,454.64/x
  3. Step 3: Cross multiply
    22,526.99x = 31,085.92 × 12,454.64
  4. Step 4: Simplify right side
    22,526.99x = 387,163,989.25
  5. Step 5: Solve for x
    x = 387,163,989.25/22,526.99
  6. Step 6: Final answer
    x = 17,186.67

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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.