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Finding the Fourth Proportional to 15,852, 21,875.76 and 10,263

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Solution

The fourth proportional to 15,852, 21,875.76 and 10,263 is: 14,162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852 : 21,875.76 = 10,263 : x
  2. Step 2: Convert to fraction form
    15,852/21,875.76 = 10,263/x
  3. Step 3: Cross multiply
    15,852x = 21,875.76 × 10,263
  4. Step 4: Simplify right side
    15,852x = 224,510,924.88
  5. Step 5: Solve for x
    x = 224,510,924.88/15,852
  6. Step 6: Final answer
    x = 14,162.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.