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Finding the Fourth Proportional to 20,970.16, 31,448.95 and 6,175.51

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Solution

The fourth proportional to 20,970.16, 31,448.95 and 6,175.51 is: 9,261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970.16 : 31,448.95 = 6,175.51 : x
  2. Step 2: Convert to fraction form
    20,970.16/31,448.95 = 6,175.51/x
  3. Step 3: Cross multiply
    20,970.16x = 31,448.95 × 6,175.51
  4. Step 4: Simplify right side
    20,970.16x = 194,213,305.21
  5. Step 5: Solve for x
    x = 194,213,305.21/20,970.16
  6. Step 6: Final answer
    x = 9,261.41

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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.