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Finding the Fourth Proportional to 14,804.62, 20,430.38 and 7,998.64

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Solution

The fourth proportional to 14,804.62, 20,430.38 and 7,998.64 is: 11,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.62 : 20,430.38 = 7,998.64 : x
  2. Step 2: Convert to fraction form
    14,804.62/20,430.38 = 7,998.64/x
  3. Step 3: Cross multiply
    14,804.62x = 20,430.38 × 7,998.64
  4. Step 4: Simplify right side
    14,804.62x = 163,415,254.68
  5. Step 5: Solve for x
    x = 163,415,254.68/14,804.62
  6. Step 6: Final answer
    x = 11,038.13

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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.