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Finding the Fourth Proportional to 20,594.16, 30,867.36 and 9,477.51

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Solution

The fourth proportional to 20,594.16, 30,867.36 and 9,477.51 is: 14,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.16 : 30,867.36 = 9,477.51 : x
  2. Step 2: Convert to fraction form
    20,594.16/30,867.36 = 9,477.51/x
  3. Step 3: Cross multiply
    20,594.16x = 30,867.36 × 9,477.51
  4. Step 4: Simplify right side
    20,594.16x = 292,545,713.07
  5. Step 5: Solve for x
    x = 292,545,713.07/20,594.16
  6. Step 6: Final answer
    x = 14,205.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.