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Finding the Fourth Proportional to 17,804.16, 24,569.92 and 9,846.92

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Solution

The fourth proportional to 17,804.16, 24,569.92 and 9,846.92 is: 13,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.16 : 24,569.92 = 9,846.92 : x
  2. Step 2: Convert to fraction form
    17,804.16/24,569.92 = 9,846.92/x
  3. Step 3: Cross multiply
    17,804.16x = 24,569.92 × 9,846.92
  4. Step 4: Simplify right side
    17,804.16x = 241,938,036.65
  5. Step 5: Solve for x
    x = 241,938,036.65/17,804.16
  6. Step 6: Final answer
    x = 13,588.85

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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.