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Finding the Fourth Proportional to 25,770.98, 35,581.28 and 16,095.17

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Solution

The fourth proportional to 25,770.98, 35,581.28 and 16,095.17 is: 22,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,770.98 : 35,581.28 = 16,095.17 : x
  2. Step 2: Convert to fraction form
    25,770.98/35,581.28 = 16,095.17/x
  3. Step 3: Cross multiply
    25,770.98x = 35,581.28 × 16,095.17
  4. Step 4: Simplify right side
    25,770.98x = 572,686,758.89
  5. Step 5: Solve for x
    x = 572,686,758.89/25,770.98
  6. Step 6: Final answer
    x = 22,222.16

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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.