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Finding the Fourth Proportional to 25,552.64, 35,262.24 and 14,222

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Solution

The fourth proportional to 25,552.64, 35,262.24 and 14,222 is: 19,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,552.64 : 35,262.24 = 14,222 : x
  2. Step 2: Convert to fraction form
    25,552.64/35,262.24 = 14,222/x
  3. Step 3: Cross multiply
    25,552.64x = 35,262.24 × 14,222
  4. Step 4: Simplify right side
    25,552.64x = 501,499,577.28
  5. Step 5: Solve for x
    x = 501,499,577.28/25,552.64
  6. Step 6: Final answer
    x = 19,626.14

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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.