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Finding the Fourth Proportional to 16,152, 22,291.19 and 9,078.48

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Solution

The fourth proportional to 16,152, 22,291.19 and 9,078.48 is: 12,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152 : 22,291.19 = 9,078.48 : x
  2. Step 2: Convert to fraction form
    16,152/22,291.19 = 9,078.48/x
  3. Step 3: Cross multiply
    16,152x = 22,291.19 × 9,078.48
  4. Step 4: Simplify right side
    16,152x = 202,370,077.20
  5. Step 5: Solve for x
    x = 202,370,077.20/16,152
  6. Step 6: Final answer
    x = 12,529.10

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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.