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Finding the Fourth Proportional to 25,864.66, 35,706.90 and 17,411.23

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Solution

The fourth proportional to 25,864.66, 35,706.90 and 17,411.23 is: 24,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864.66 : 35,706.90 = 17,411.23 : x
  2. Step 2: Convert to fraction form
    25,864.66/35,706.90 = 17,411.23/x
  3. Step 3: Cross multiply
    25,864.66x = 35,706.90 × 17,411.23
  4. Step 4: Simplify right side
    25,864.66x = 621,701,048.49
  5. Step 5: Solve for x
    x = 621,701,048.49/25,864.66
  6. Step 6: Final answer
    x = 24,036.70

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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.