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Finding the Fourth Proportional to 16,752, 25,225.60 and 12,400.32

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Solution

The fourth proportional to 16,752, 25,225.60 and 12,400.32 is: 18,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,752 : 25,225.60 = 12,400.32 : x
  2. Step 2: Convert to fraction form
    16,752/25,225.60 = 12,400.32/x
  3. Step 3: Cross multiply
    16,752x = 25,225.60 × 12,400.32
  4. Step 4: Simplify right side
    16,752x = 312,805,512.19
  5. Step 5: Solve for x
    x = 312,805,512.19/16,752
  6. Step 6: Final answer
    x = 18,672.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.