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Finding the Fourth Proportional to 17,761.68, 24,510.80 and 9,804.16

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Solution

The fourth proportional to 17,761.68, 24,510.80 and 9,804.16 is: 13,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.68 : 24,510.80 = 9,804.16 : x
  2. Step 2: Convert to fraction form
    17,761.68/24,510.80 = 9,804.16/x
  3. Step 3: Cross multiply
    17,761.68x = 24,510.80 × 9,804.16
  4. Step 4: Simplify right side
    17,761.68x = 240,307,804.93
  5. Step 5: Solve for x
    x = 240,307,804.93/17,761.68
  6. Step 6: Final answer
    x = 13,529.57

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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.