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Finding the Fourth Proportional to 17,900.65, 24,703.44 and 10,823.00

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Solution

The fourth proportional to 17,900.65, 24,703.44 and 10,823.00 is: 14,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,900.65 : 24,703.44 = 10,823.00 : x
  2. Step 2: Convert to fraction form
    17,900.65/24,703.44 = 10,823.00/x
  3. Step 3: Cross multiply
    17,900.65x = 24,703.44 × 10,823.00
  4. Step 4: Simplify right side
    17,900.65x = 267,365,352.29
  5. Step 5: Solve for x
    x = 267,365,352.29/17,900.65
  6. Step 6: Final answer
    x = 14,936.07

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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.