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Finding the Fourth Proportional to 28,004.16, 38,646 and 15,429.12

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Solution

The fourth proportional to 28,004.16, 38,646 and 15,429.12 is: 21,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,004.16 : 38,646 = 15,429.12 : x
  2. Step 2: Convert to fraction form
    28,004.16/38,646 = 15,429.12/x
  3. Step 3: Cross multiply
    28,004.16x = 38,646 × 15,429.12
  4. Step 4: Simplify right side
    28,004.16x = 596,273,771.52
  5. Step 5: Solve for x
    x = 596,273,771.52/28,004.16
  6. Step 6: Final answer
    x = 21,292.33

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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.