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Finding the Fourth Proportional to 17,761.65, 24,510.09 and 9,803.40

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Solution

The fourth proportional to 17,761.65, 24,510.09 and 9,803.40 is: 13,528.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.65 : 24,510.09 = 9,803.40 : x
  2. Step 2: Convert to fraction form
    17,761.65/24,510.09 = 9,803.40/x
  3. Step 3: Cross multiply
    17,761.65x = 24,510.09 × 9,803.40
  4. Step 4: Simplify right side
    17,761.65x = 240,282,216.31
  5. Step 5: Solve for x
    x = 240,282,216.31/17,761.65
  6. Step 6: Final answer
    x = 13,528.15

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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.