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Finding the Fourth Proportional to 17,804.16, 24,570 and 10,352.16

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Solution

The fourth proportional to 17,804.16, 24,570 and 10,352.16 is: 14,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.16 : 24,570 = 10,352.16 : x
  2. Step 2: Convert to fraction form
    17,804.16/24,570 = 10,352.16/x
  3. Step 3: Cross multiply
    17,804.16x = 24,570 × 10,352.16
  4. Step 4: Simplify right side
    17,804.16x = 254,352,571.20
  5. Step 5: Solve for x
    x = 254,352,571.20/17,804.16
  6. Step 6: Final answer
    x = 14,286.13

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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.