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Finding the Fourth Proportional to 25,733.28, 35,510.16 and 14,402.28

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Solution

The fourth proportional to 25,733.28, 35,510.16 and 14,402.28 is: 19,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,733.28 : 35,510.16 = 14,402.28 : x
  2. Step 2: Convert to fraction form
    25,733.28/35,510.16 = 14,402.28/x
  3. Step 3: Cross multiply
    25,733.28x = 35,510.16 × 14,402.28
  4. Step 4: Simplify right side
    25,733.28x = 511,427,267.16
  5. Step 5: Solve for x
    x = 511,427,267.16/25,733.28
  6. Step 6: Final answer
    x = 19,874.16

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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.