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Finding the Fourth Proportional to 21,776.75, 30,051.93 and 12,345.92

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Solution

The fourth proportional to 21,776.75, 30,051.93 and 12,345.92 is: 17,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776.75 : 30,051.93 = 12,345.92 : x
  2. Step 2: Convert to fraction form
    21,776.75/30,051.93 = 12,345.92/x
  3. Step 3: Cross multiply
    21,776.75x = 30,051.93 × 12,345.92
  4. Step 4: Simplify right side
    21,776.75x = 371,018,723.63
  5. Step 5: Solve for x
    x = 371,018,723.63/21,776.75
  6. Step 6: Final answer
    x = 17,037.38

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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.