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Finding the Fourth Proportional to 22,526.88, 31,082.80 and 14,139.60

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Solution

The fourth proportional to 22,526.88, 31,082.80 and 14,139.60 is: 19,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,526.88 : 31,082.80 = 14,139.60 : x
  2. Step 2: Convert to fraction form
    22,526.88/31,082.80 = 14,139.60/x
  3. Step 3: Cross multiply
    22,526.88x = 31,082.80 × 14,139.60
  4. Step 4: Simplify right side
    22,526.88x = 439,498,358.88
  5. Step 5: Solve for x
    x = 439,498,358.88/22,526.88
  6. Step 6: Final answer
    x = 19,509.95

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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.