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Finding the Fourth Proportional to 12,957.34, 19,445.62 and 9,633.28

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Solution

The fourth proportional to 12,957.34, 19,445.62 and 9,633.28 is: 14,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.34 : 19,445.62 = 9,633.28 : x
  2. Step 2: Convert to fraction form
    12,957.34/19,445.62 = 9,633.28/x
  3. Step 3: Cross multiply
    12,957.34x = 19,445.62 × 9,633.28
  4. Step 4: Simplify right side
    12,957.34x = 187,325,102.23
  5. Step 5: Solve for x
    x = 187,325,102.23/12,957.34
  6. Step 6: Final answer
    x = 14,457.06

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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.