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Finding the Fourth Proportional to 26,322.63, 39,490.78 and 7,854.63

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Solution

The fourth proportional to 26,322.63, 39,490.78 and 7,854.63 is: 11,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,322.63 : 39,490.78 = 7,854.63 : x
  2. Step 2: Convert to fraction form
    26,322.63/39,490.78 = 7,854.63/x
  3. Step 3: Cross multiply
    26,322.63x = 39,490.78 × 7,854.63
  4. Step 4: Simplify right side
    26,322.63x = 310,185,248.22
  5. Step 5: Solve for x
    x = 310,185,248.22/26,322.63
  6. Step 6: Final answer
    x = 11,783.98

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Why These Related Problems?

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