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Finding the Fourth Proportional to 24,642.31, 36,963.42 and 9,854.68

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Solution

The fourth proportional to 24,642.31, 36,963.42 and 9,854.68 is: 14,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.31 : 36,963.42 = 9,854.68 : x
  2. Step 2: Convert to fraction form
    24,642.31/36,963.42 = 9,854.68/x
  3. Step 3: Cross multiply
    24,642.31x = 36,963.42 × 9,854.68
  4. Step 4: Simplify right side
    24,642.31x = 364,262,675.81
  5. Step 5: Solve for x
    x = 364,262,675.81/24,642.31
  6. Step 6: Final answer
    x = 14,782.00

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1.5x scale

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.