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Finding the Fourth Proportional to 25,600.56, 35,328.96 and 14,422.56

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Solution

The fourth proportional to 25,600.56, 35,328.96 and 14,422.56 is: 19,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.56 : 35,328.96 = 14,422.56 : x
  2. Step 2: Convert to fraction form
    25,600.56/35,328.96 = 14,422.56/x
  3. Step 3: Cross multiply
    25,600.56x = 35,328.96 × 14,422.56
  4. Step 4: Simplify right side
    25,600.56x = 509,534,045.34
  5. Step 5: Solve for x
    x = 509,534,045.34/25,600.56
  6. Step 6: Final answer
    x = 19,903.24

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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.