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Finding the Fourth Proportional to 14,501.60, 20,004 and 8,531.36

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Solution

The fourth proportional to 14,501.60, 20,004 and 8,531.36 is: 11,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,501.60 : 20,004 = 8,531.36 : x
  2. Step 2: Convert to fraction form
    14,501.60/20,004 = 8,531.36/x
  3. Step 3: Cross multiply
    14,501.60x = 20,004 × 8,531.36
  4. Step 4: Simplify right side
    14,501.60x = 170,661,325.44
  5. Step 5: Solve for x
    x = 170,661,325.44/14,501.60
  6. Step 6: Final answer
    x = 11,768.45

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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.