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Finding the Fourth Proportional to 16,852.77, 25,279.15 and 5,164.47

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Solution

The fourth proportional to 16,852.77, 25,279.15 and 5,164.47 is: 7,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.77 : 25,279.15 = 5,164.47 : x
  2. Step 2: Convert to fraction form
    16,852.77/25,279.15 = 5,164.47/x
  3. Step 3: Cross multiply
    16,852.77x = 25,279.15 × 5,164.47
  4. Step 4: Simplify right side
    16,852.77x = 130,553,411.80
  5. Step 5: Solve for x
    x = 130,553,411.80/16,852.77
  6. Step 6: Final answer
    x = 7,746.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.