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Finding the Fourth Proportional to 23,807.63, 32,854.53 and 13,198.88

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Solution

The fourth proportional to 23,807.63, 32,854.53 and 13,198.88 is: 18,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.63 : 32,854.53 = 13,198.88 : x
  2. Step 2: Convert to fraction form
    23,807.63/32,854.53 = 13,198.88/x
  3. Step 3: Cross multiply
    23,807.63x = 32,854.53 × 13,198.88
  4. Step 4: Simplify right side
    23,807.63x = 433,642,834.65
  5. Step 5: Solve for x
    x = 433,642,834.65/23,807.63
  6. Step 6: Final answer
    x = 18,214.45

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1.5x scale

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.