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Finding the Fourth Proportional to 26,017.84, 35,902.20 and 14,684.32

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Solution

The fourth proportional to 26,017.84, 35,902.20 and 14,684.32 is: 20,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,017.84 : 35,902.20 = 14,684.32 : x
  2. Step 2: Convert to fraction form
    26,017.84/35,902.20 = 14,684.32/x
  3. Step 3: Cross multiply
    26,017.84x = 35,902.20 × 14,684.32
  4. Step 4: Simplify right side
    26,017.84x = 527,199,393.50
  5. Step 5: Solve for x
    x = 527,199,393.50/26,017.84
  6. Step 6: Final answer
    x = 20,263.00

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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.