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Finding the Fourth Proportional to 17,758.63, 24,510.08 and 10,589.00

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Solution

The fourth proportional to 17,758.63, 24,510.08 and 10,589.00 is: 14,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.63 : 24,510.08 = 10,589.00 : x
  2. Step 2: Convert to fraction form
    17,758.63/24,510.08 = 10,589.00/x
  3. Step 3: Cross multiply
    17,758.63x = 24,510.08 × 10,589.00
  4. Step 4: Simplify right side
    17,758.63x = 259,537,332.96
  5. Step 5: Solve for x
    x = 259,537,332.96/17,758.63
  6. Step 6: Final answer
    x = 14,614.72

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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.