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Finding the Fourth Proportional to 28,048.24, 38,702.36 and 16,112.08

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Solution

The fourth proportional to 28,048.24, 38,702.36 and 16,112.08 is: 22,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,048.24 : 38,702.36 = 16,112.08 : x
  2. Step 2: Convert to fraction form
    28,048.24/38,702.36 = 16,112.08/x
  3. Step 3: Cross multiply
    28,048.24x = 38,702.36 × 16,112.08
  4. Step 4: Simplify right side
    28,048.24x = 623,575,520.51
  5. Step 5: Solve for x
    x = 623,575,520.51/28,048.24
  6. Step 6: Final answer
    x = 22,232.25

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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.