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Finding the Fourth Proportional to 22,752.96, 31,396.48 and 13,802.56

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Solution

The fourth proportional to 22,752.96, 31,396.48 and 13,802.56 is: 19,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.96 : 31,396.48 = 13,802.56 : x
  2. Step 2: Convert to fraction form
    22,752.96/31,396.48 = 13,802.56/x
  3. Step 3: Cross multiply
    22,752.96x = 31,396.48 × 13,802.56
  4. Step 4: Simplify right side
    22,752.96x = 433,351,798.99
  5. Step 5: Solve for x
    x = 433,351,798.99/22,752.96
  6. Step 6: Final answer
    x = 19,045.95

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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.