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Finding the Fourth Proportional to 12,557.64, 17,329.47 and 6,892.23

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Solution

The fourth proportional to 12,557.64, 17,329.47 and 6,892.23 is: 9,511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.64 : 17,329.47 = 6,892.23 : x
  2. Step 2: Convert to fraction form
    12,557.64/17,329.47 = 6,892.23/x
  3. Step 3: Cross multiply
    12,557.64x = 17,329.47 × 6,892.23
  4. Step 4: Simplify right side
    12,557.64x = 119,438,693.02
  5. Step 5: Solve for x
    x = 119,438,693.02/12,557.64
  6. Step 6: Final answer
    x = 9,511.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.